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Name | Dr. Muhammad Muddassar |

Designation | Associate Professor |

Department | Basic Sciences (Taxila) |

Highest Qualification | PhD Mathematics (UET Lahore) |

Specialization | Mathematical Analysis, Fractional Calculus, Theory of Convex functions |

Phone No | +92-51-9047870 |

Cell No | |

Fax No | +92-51-9047420 |

[email protected] |

- Ph.D Mathematics 2014, UET Lahore
- M.Phil Applied Mathematics 2009, UET, Lahore
- M.Sc Computational Mathematics 2004, UET Lahore

Mathematical Inequalities, Theory of Convex functions, Fractional Calculus, Time Scales

Mathematical Inequalities, Fractional Calculus, Classical Analysis, Numerical Functional Analysis

*Mudassir Saeed,**Muhammad Muddassar**, Malik Sajjad Mehmood, Hafiz Muhammad Musharaf, Diffuse Reflectance Spectroscopy of γ-irradiated UHMWPE: A Novel Fractional order Based Filters Approach for Accessing the Radiation Modification, Rad. Phy and Chem.**Volume 197**, August 2022, 110163.**Adil Jhangeer,**Muhammad Muddassa**r, Jan Awrejcewicz, Zarmeena Naz, Muhammad Bilal Riaz,**Phase Portrait, Multi-Stability, Sensitivity and Chaotic analysis of Gardner’s Equation with their Wave Turbulence and Solitons Solutions**,**Results in Physics ,**Volume 32**, January 2022, 104981.**Faiqa Ali, Adil Jhangeer ,**Muhammad Muddassar**, Hassan Almusawa,**Solitonic, Quasi-periodic, super nonlinear and chaotic behaviors of a dispersive extended nonlinear Schrödinger equation in an optical fiber,**Results in Physics**,**Volume 31**, December 2021, 104921, https://doi.org/10.1016/j.rinp.2021.104921.**Kottakkkaran Sooppy Nisar, Mustafa Inc, Adil Jhangeer,**Muhammad Muddassar**, Barka Infal,**New soliton solutions of Heisenberg ferromagnetic spin chain model, Pramana – J. Phys. (2022) 96:28, https://doi.org/10.1007/s12043-021-02266-y.**Adil Jhangeer,**Muhammad Muddassar**, Zia Ur Rehman, Jan Awrejcewicz, Muhmmad Bilal Riaz**,**Multistability and dynamic behavior of non-linear wave solutions for analytical kink periodic and quasi-periodic wave structures in plasma physics, Results in Physics, Vol. 29 October 2021, 10473,**https://doi.org/10.1016/j.rinp.2021.104735**.**Adil Jhangeer,*,**Muhammad Muddassar**, Mustafa INC, Yu-Ming Chu, Maryam Kousar*Computation of complex fields of perturbed (2 + 1)-dimensional nonlinear Schrodinger’s equation, Optical and Quantum Electronics (2021) 53:352 https://doi.org/10.1007/s11082-021-02992-y.**Maria Bibi,***Muhammad Muddassar**, Hermite-Hadamard type Fractional Integral Inequalities for Strongly Generalized-Prequasi-Invex Functions, Int. J. Nonlinear Anal. Appl. In Press, 1–11,*ISSN: 2008-6822 (electronic), http://dx.doi.org/10.22075/ijnaa.2021.23370.2524**Adil Jhangeer,***M. Muddassar**, Barka Infal, Marium Kausar, Investigation of optical solitons of time-fractional perturbed Fokas-Lennels equation by using Beta, M-truncated and Riemann-Liouville fractional derivative: A comparative stud*y***(In-review)***.**Adil Jhangeer,***M. Muddassar**, Marium Kausar, Barka Infal, Multistability and Dynamics of Fractional Regularized Long Wave Equation with Conformable Fractional Derivatives,*Ain Shams Engineering Journal**,**Volume 12, Issue 2**, June 2021, Pages 2153-2169.**Muhammad Muddassar**, Nasir Siddiqui, Zamir Hussain, Muhammad Tariq, On the $s$-Integral Inequalities Concerning $k$-Fractional Conformable Integrals via Pre-Invexity***(Accepted in Thai Jour. Math.)***Muhammad Muddassar**, Sever Silvestru Dragomir, Zamir Hussain, Rayna's Fractional integral operations on Hermite-Hadamard Inequalities with**η**-G-Preinvex function, Adv. Oper. Th. volume 5, pages1390–1405(2020).**Zamir Hussain,***Muhammad Muddassar,**Extension of results analogous to beta functions by the way of $(\alpha, s)$ Pre invexity, Trans. J. Math. Mech. 11 (2019), No. 1-2, 111-115.*Saeeda Fatima Tahir, M. Mushta,***M. Muddassar**, A note on integral inequalities on time scales associated with ostrowski's type., J. Func. Spaces, Volume 2019, Article ID 4748373, 6 pages, doi:10.1155/2019/4748373*Zaffer Elahi,***Muhammad Muddassar,**New integral inequalities of Hermite–Hadamard’s and Simpson’s type for twice differentiable mappings, Math. Sc., 13, 279–285 (2019) doi:10.1007/s40096-019-00297-6*Saeeda Fatima Tahir,*Vol. 26 issue 02 (2019) pp. 223-233.**M. Muddassar**, M. Mushtaq, A new interpretation of Hermite-Hadamard's type Integral Inequalities by the way of Time Scales, J. Comp. Anal. Appl.,*Muhammad Iqbal, Mustafa Habib, Nasir Siddiqui,*Vol. 25 issue 03 (2018)pp. 396-406.**Muhammad Muddassar.**Some Hermite-Hadamard and Simson type Inequalities for Convex Functions via Fractional Integrals with Applications, J. Comp. Anal. Appl.*Muhammad Muddassar**, Muhammad Iqbal Bhatti, And Farkhanda Yasin, New Inequalities of the type of Hadamard’s through s-(\alpha, m) coordinated convex functions, Trans. J. math. Mech.,*Vol. 9, Issue 02 (2017), PP. 145-153.*Muhammad Muddassar**, Nasir Siddiqui, And Muhammad Iqbal, On Co-Ordinated Ostrowski And Hadamard’s Type Inequalities For Convex Functions II, Trans. J. Math. Mech.,*Vol. 9, Issue 01 (2017), PP. 35-42.*A. Ali, G. Gulshan, R. Hussain, A. Latif,*Vol. 22 issue 07 (2017), pp. 1208-1219.**M. Muddassar,**Generalized Inequalities of the type of Hermite-Hadamard-Fejer with Quasi-Convex Functions by way of k-Fractional Derivatives, J. Comp. Anal.Appl.,*Muhammad Muddassar**, Zaffer Elahi. Inequalities Of The Type Of Simpson’s And Hadamard’s For Twice Differentiable Quasi-Geometrically Convex Mappings, Trans. J. Math. Mech.,*Vol. 8, Issue 02 (2016), PP. 137-145.*Muhammad Iqbal, Shahid Qaisar,*Vol. 21 issue 05. (2016), PP. 946-953.**Muhammad Muddassar,**A Short Note on Integral Inequality of the type of Hermite-Hadamard through convexity, J. Comp. Anal. Appl.,*Shahid Qaisar, Muhammad Iqbal,*Vol. 20. Issue 07 (2016), PP. 1318-1323.**Muhammad Muddassar,**New Hermite-Hadamard’s Inequalities for Pre-Invex functions via fractional Integrals. J. Comp. Anal. Appl.,*Wajiha Irshad, Muhammad Iqbal Bhatti,*Vol. 20. Issue 05 (2016). PP. 914-927.**Muhammad Muddassar,**Some Ostrowski type Integral Inequalities for Double Integrals on Time Scales, J. Comp. Anal. Appl.,*Sever S. Dragomir , Muhammad Iqbal Bhatti, Muhammad Iqbal, and*Vol. 18 Issue 4 (2015), pp. 655-661.**Muhammad Muddassar,**Some new Fractional Integral Hermite-Hadamard type Inequalities, J. Comp. Anal. Appl.,*Muhammad Muddassar**, and Ahsan Ali, New Integral Inequalities through Generalized Convex Functions, Punjab University J. Math,*Vol. 46 (2) (2014) PP.47-51.*Shahid Qaiser,*Volume-51 No.2, (145 – 155), 2014.**Muhammad Muddassar**, and Muhammad Iqbal, New Integral Inequalities of the Hermite Hadamard type through Invexity. Proc. Pak. Acad. Sc.,*Muhammad Muddassar**, and Muhammad Iqbal Bhatti, Some Generalizations of Hermite-Hadamard type Integral Inequalities and their Applications, Punjab University J. Math,*Vol. 46 (1) (2014) PP.9-18.*Muhammad Iqbal, Muhammad Iqbal Bhatti and*Vol. 16 Issue 4 (2014). pp. 643-653.**Muhammad Muddassar,**Some new Integral Inequalities of the type of Hermite-Hadamard’s for the Mappings whose absolute values of their Derivative are Convex, J. Comp. Anal. Appl.,*Rana Atta-ur-Rahman, M Ali Nasir, Mudaser Ullah, Riffat Asim Pasha, Nazeer Ahmad Anjum, Shahid Mehmood,***Muhammad Muddassar**, Ilyas Farooqi, Waqas Asghar, M Imran,*Demarcation of Fatigue Crack Cumulative Damage (Initiation + stage I) of Aluminum Alloy under Combined Loading**, Life Science Journal, Vol 10 (Special Issue 12) 2013,*678-683.*Muhammad Muddassar**, Muhammad Iqbal Bhatti and Wajeeha Irshad, Generalizations of Integral Inequalities of the type of Hermite-Hadamard through Convexity, Bull. Aust. Math. Sc.,*Volume 88(2) (2013) pp. 320-330 doi:10.1017/S0004972712000937.*Muhammad Muddassar**& Muhammad Iqbal Bhatti, Some Generalizations of Hadamard's type inequalities through differentiability for s-Convex functions and their Applications, Indian J. Pure Appl. Math.,*Volume 44, Issue 2, PP. 131-151, April 2013.*Muhammad Muddassar**, M. I. Bhatti, M. Iqbal, Some new s-Hermite- Hadamard type inequalities for differentiable functions and their Applications, Proc. Pak. Acad. Sc.,*Volume-49, No.1 (7 – 19) 2012.*M. Iqbal, M. I. Bhatti,*Volume-63(2011), No.3 (170 – 173).**M. Muddassar,**Hadamard-type Inequalities for h-Convex functions, Pak. J. Sc.,

- Chairman, Department of Basic Sciences & Humanities
- Chairman, Academic Recommendations Committee, PD Khan Campus, UET Taxila
- Member, Board of Faculty of Civil and Environmental Engineering, UET Taxila
- Member, StuStudent Discipline Committee, UET Taxila.

**Trainings & Workshops Organized**

- Interdisciplinary Education Research in Mathematics and Its Connections with title “
**Klein Gorden Equations in Biological Envirnoment**” by Dr. Adil Jahangir (FAST, NUCES, Lahore) (January 28, 2012). - Interdisciplinary Education Research in Mathematics and Its Connections with title “
**On the Degree Sequence of Inner Dual Graphs of HONEYCOMB LATTICE**” by Prof. Dr. Faqir M. Bhatti (Director CASM, LUMS) (MAY 08, 2012). - Interdisciplinary Education Research in Mathematics and Its Connections with title “
**Mathematical Biology**” by Dr. Adnan Khan (CASM, LUMS) (February 22, 2014). - Interdisciplinary Education Research in Mathematics and Its Connections with title “
**Robust Concept of Coherent Risk Measures, FINANCIAL Mathematics**” by Prof. Dr. Mohammed Kazim Khan (kent State University, USA) (MAY 31, 2014). - Interdisciplinary Education Research in Mathematics and Its Connections with title “
**Some Properties of Spectral Graph Theory**”. by Prof. Dr. Faqir M. Bhatti CASM, LUMS. (December 14, 2015). - Interdisciplinary Education Research in Mathematics and Its Connections with title “
**Everything A Mathematics Teacher should Know About the latest Scientific Calculators**”. by Mr. Jawad Mirza, certified Trainer , Casio-Pakistan. (January 31, 2018).

**Teaching Experience**

Mathematical Analysis

Differential Equations and Integral Equations

Integral Transforms

Complex variables and Transform Methods

Linear Algebra and Numerical Analysis with C++

Operations Research

HEC Approved Supervisor

Reviewer American Mathematical Society

Member, Punjab Mathematical Society, Pakistan

Member, Pakistan Association for the Advancement of Science, Pakistan

Mathematical Analysis, Differential Equations and Integral Equations, Integral Transforms, Complex variables and Transform Methods, Linear Algebra and Numerical Analysis with C++, Operations Research, Applied Functional Analysis.

**Associate Professor**, University of Engineering & Technology, Taxila April 2017- todate (Department of Basic Sciences).**Assistant Professor**, University of Engineering & Technology, Taxila August 2016- April 2017 (Department of Basic Sciences).**Associate Professor,**Govt. College of Science, Wahdat Road, Lahore. Pakistan March 2016 – August 2016- (Department of Mathematics).**Assistant Professor**, University of Engineering & Technology, Taxila Nov. 2010- March 2016 (Department of Basic Sciences).**E – Lecturer/Instructor/Tutor**, Virtual University of Pakistan, June, 2006 to Nov. 2010 (Faculty of Mathematics).

**Participation in 4th World Conference on 21st Century Mathematics 2009.**Abdus Salam School of Mathematical sciences, March 04 - 08, 2009 , Government College University, Lahore-Pakistan.**Participation and talk in 12th International Pure Mathematics Conference 2011,**Quid - e - Azam University Islamabad. Pakistan, July 29 - 31, 2011.**An Encounter of Algebra and Geometry**(A Sharing and Learning Conference), (Conference dedicated to Barbu Berceanu for his 60th birthday), November 19-22, 2011.**Spring Workshop on Recent Advances in Graph Theory and Combinatorics 2012.**Centre for Advance Studies in Mathematics, LUMS, Lahore & Abdus Salam School of Mathematical sciences, GCU, Lahore, February 17 - 19, 2012.**Participation and talk in 13th International Pure Mathematics Conference 2012,**Quid - e - Azam University Islamabad. Pakistan, September 01-03, 2012.**Participation in 6th World Conference on 21st Century Mathematics 2013.**Abdus Salam School of Mathematical sciences, March 06 - 09, 2013. Government College University, Lahore-Pakistan.**Participation and talk in Recent Advances in Mathematical Methods, Models and Applications 2013,**Centre for Applicable Mathematics & Statistics, University of Central Punjab, Lahore, April 13-14, 2013.**Spring Workshop on Computational Fluid Dynamics and Scientific Computing 2013.**Centre for Advance Studies in Mathematics, LUMS, Lahore & PIEAS, Islamabad at CASM, LUMS, Lahore, November 08 - 09, 2013.**CASM CONFERENCE ON QUALITATIVE AND QUANTITAIVE TECHNIQUES FOR****DIFFERENTIAL EQUATIONS AND APPLICATIONS 2015.**Centre for Advance Studies in Mathematics, LUMS, Lahore at CASM, LUMS, Lahore, june 04-06, 2015.

**Adviser of PhD Thesis**

**Saeeda fatima Tahir**,

Dissertation Title: Generalization of Dynamic Inequalities & Their Applications

Submitted Date: February 2020 (UET, Lahore) .

**Adviser for M.Phil-thesis**

- Muhammad Ahmed,
*Hadamard’s Type Inequalities With Applications,*Minhaj university, Lahore,**September 2014**. - Muhammad Faheem,
*Simpson’s type Inequalities and their Applications*, Minhaj University,**September 2014**. - Abdur Rehman, On
*Simpson’s type Inequalities on coordinates with Applications*, Minhaj University,**November 2016**. - Ayesha Noreen, Caputo Fractional Ostrowski type Integral Inequalities on a Rectangular Plane, UET, Taxila,
**August 2017**. - Sadia Rahim, On the Bounds for the Trapezoidal Inequality and Applications, UET, Taxila,
**August 2017.** - Maria Bibi, On Lotka- Voltera System And Applications To Differential Equations And Dynamical System, UET Taxila,
**January 2018**. - Ghulam Haider, Hermite-Hadamard’s type integral inequalities by the way of double integrals utilizing Reimann-Liouville fractional derivatives, UET Taxila,
**May 2018**. - Shazia Yasmeen, Generalization of Integral Inequalities Analogous to Hermite-Hadamard Inequality VIA Fractional Integrals, UET Taxila,
**January 2019**. - Muhammad Mohsin Anwar, On the Reimann-Liouville fractional Integral Inequalities, UET Taxila,
**January 2019**. - Muhammad Tariq, Integral Inequalities s-Hermite-hadamard type concerning k-Fractional conformable integrals via preinvex mapping, UET Taxila
**August 2019**. - Zamir Hussain, Integral Inequalities concerning k-fractional conformable integrals via invexity, UET Taxila,
**August 2019**. - Mariam kausar, Extraction o Closed form Solutions of Fractional Order Partial Differential Equations UET Taxila,
**April 2021**. - Barka Infal, Analytical Solutions for some Fractional Order Partial Differential Equations, UET Taxila,
**April 2021**. - Zia Ur Rehman, Phase Portraits of Plasma Wave in Electron-Positron-Ion with Construction of Solitons Solution,
**October 2021**. - Zarmeena Naz, Bifurcation Analysis and Different Dynamical Structure of Non-Linear Dust-Acoustic Shock Waves in Plasma Physics,
**October 2021**.

- Diploma for Academic Excellence in Mathematics for ALGEBRA course (Oct 23 – Nov 05, 2008 Jan. 26 – Feb. 7, 2009), Abdus Salam School of Mathematical sciences, Lahore
- Diploma for Academic Excellence in Mathematics for GEOMETRY course(Nov. 10– 22, 2008 Feb. 9 – 21 , 2009), Abdus Salam School of Mathematical sciences, Lahore
- Diploma for Academic Excellence in Mathematics for MATHEMATICAL ANALYSIS course (Dec. 4 – 20, 2008 Mar. 9 – 21, 2009), Abdus Salam School of Mathematical sciences, Lahore

**Adviser of PhD Thesis**

**Saeeda fatima Tahir**,

Dissertation Title: Generalization of Dynamic Inequalities & Their Applications

Submitted Date: February 2020 (UET, Lahore) .

**Adviser for M.Phil-thesis**

- Muhammad Ahmed,
*Hadamard’s Type Inequalities With Applications,*Minhaj university, Lahore,**September 2014**. - Muhammad Faheem,
*Simpson’s type Inequalities and their Applications*, Minhaj University,**September 2014**. - Abdur Rehman, On
*Simpson’s type Inequalities on coordinates with Applications*, Minhaj University,**November 2016**. - Ayesha Noreen, Caputo Fractional Ostrowski type Integral Inequalities on a Rectangular Plane, UET, Taxila,
**August 2017**. - Sadia Rahim, On the Bounds for the Trapezoidal Inequality and Applications, UET, Taxila,
**August 2017.** - Maria Bibi, On Lotka- Voltera System And Applications To Differential Equations And Dynamical System, UET Taxila,
**January 2018**. - Ghulam Haider, Hermite-Hadamard’s type integral inequalities by the way of double integrals utilizing Reimann-Liouville fractional derivatives, UET Taxila,
**May 2018**. - Shazia Yasmeen, Generalization of Integral Inequalities Analogous to Hermite-Hadamard Inequality VIA Fractional Integrals, UET Taxila,
**January 2019**. - Muhammad Mohsin Anwar, On the Reimann-Liouville fractional Integral Inequalities, UET Taxila,
**January 2019**. - Muhammad Tariq, Integral Inequalities s-Hermite-hadamard type concerning k-Fractional conformable integrals via preinvex mapping, UET Taxila
**August 2019**. - Zamir Hussain, Integral Inequalities concerning k-fractional conformable integrals via invexity, UET Taxila,
**August 2019**. - Mariam kausar, Extraction o Closed form Solutions of Fractional Order Partial Differential Equations UET Taxila,
**April 2021**. - Barka Infal, Analytical Solutions for some Fractional Order Partial Differential Equations, UET Taxila,
**April 2021**. - Zia Ur Rehman, Phase Portraits of Plasma Wave in Electron-Positron-Ion with Construction of Solitons Solution,
**October 2021**. - Zarmeena Naz, Bifurcation Analysis and Different Dynamical Structure of Non-Linear Dust-Acoustic Shock Waves in Plasma Physics,
**October 2021**.

Fractional Calculus, Numerical Functional Analysis, Classical Analysis