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| Name | Dr. Muhammad Muddassar |
| Designation | Associate Professor |
| Department | Mathematical Sciences (Taxila) |
| Highest Qualification | PhD Mathematics (UET Lahore) |
| Specialization | Mathematical Analysis, Fractional Calculus, Theory of Convex functions |
| Phone No | +92-51-9047882 |
| Cell No | |
| Fax No | +92-51-9047430 |
| [email protected] | |
Mathematical Inequalities, Theory of Convex functions, Fractional Calculus, Time Scales
Mathematical Inequalities, Fractional Calculus, Classical Analysis, Numerical Functional Analysis
Journal Articles
1 Infal, B., Jhangeer, A., & Muddassar, M. (2025). Exploring attractors and basin dynamics in a new
symmetric chaotic system: Analysis of complex synchronization patterns. Ain Shams Engineering
Journal, 16(10), 103667. https://doi.org/https://doi.org/10.1016/j.asej.2025.103667
2 Zahid, M., Rehman, Z. U., Shoaib, S., Bolla, D. P., Muddassar, M., Khattak, R., & Amin, Y. A. (2025).
Analytic solutions and multi-stable chaotic dynamics in perturbed and unperturbed nonlinear
electromagnetic wave systems for engineering applications. Results in Engineering, 26, 105366.
https://doi.org/https://doi.org/10.1016/j.rineng.2025.105366
3 Khan, A. G., Muddassar, M., Shoaib, S., Rehman, Z. U., & Zahid, M. (2025). Dynamical systems with
fractional derivatives: Focus on phase portraits and plasma wave propagation using
lakshmanan-porsezian-daniel model. Axioms, 14(6). https://doi.org/10.3390/axioms14060405
4 Muddassar, M., Arshad, H. Z., Bibi, M., & Jabeen, T. (2025). Exploring generalized ostrowski-type
inequalities through preinvex functions in fractional calculus. Adv. Inequal. Appl., 2025, Article–ID.
5 Muddassar, M., Dar, M. Q., Arshad, h. Z., & Jabeen, T. (2025). New insights into chebyshev-type
inequalities for fractional-order integrals with synchronous and monotonic functions with
applications. Journal of Applied and Pure Mathematics, 7(1-2), 75–87.
6 Rehman, Z. U., Zahid, M., Bolla, D. P. B., Shoaib, S., Amin, Y., Khattak, R., & Muddassar, M. (2025).
Nonlinear wave dynamics and multistability in engineering electromagnetics: Numerical analysis of
perturbed and un-perturbed systems within the higgs field. Results in Engineering, 25, 104375.
https://doi.org/https://doi.org/10.1016/j.rineng.2025.104375
7 Muddassar, M., & Dar, M. Q. (2025). Investigating synchronous function inequalities and exponential
kernel-based fractional calculus in population dynamics. Adv. Inequal. Appl., 2025, Article–ID.
8 Al-Sadi, S., Bibi, M., Muddassar, M., & Budak, H. (2025). Generalized local fractional integral
inequalities via generalized (˜h1,˜h2)-preinvexity on fractal sets. International Journal of Geometric
Methods in Modern Physics.
9 Saeed, M., Muddassar, M., Mehmood, M. S., & Siddiqui, N. (2025). Radiation-responsive polymers: A
novel spectral approach to investigate ultrahigh molecular weight polyethylene modifications using
grunwald-letnikov and caputo fractional order derivatives. Revista Mexicana de Física, 71(1 Jan-Feb),
011005–1.
10 Ali, F., Jhangeer, A., & Muddassar, M. (2024a). Comprehensive classification of multistability and
lyapunov exponent with multiple dynamics of nonlinear schrödinger equation. Nonlinear Dynamics.
https://doi.org/https://doi.org/10.1007/s11071-024-10781-x
11 Kousar, M., Jhangeer, A., &Muddassar, M. (2024). Comprehensive analysis of noise behavior influenced
by random effects in stochastic differential equations. Partial Differential Equations in Applied
Mathematics, 100997.
12 Bhowmike, N., Rehman, Z. U., Zahid, M., Shoaib, S., & Mudassar, M. (2024). Bifurcation and
multi-stability analysis of microwave engineering systems: Insights from the burger–fisher equation.
Physics Open, 21. https://doi.org/https://doi.org/10.1016/j.physo.2024.100242
13 Al-Sa’di, S., Bibi, M., Seol, Y., & Muddassar, M. (2024). (h − m)-preinvex functions on fractal sets and
local fractional integral inequalities with applications. J. Nonlinear Funct. Anal., (25), 1–21.
https://doi.org/https://doi.org/10.23952/jnfa.2024.25
14 Infal, B., Jhangeer, A., & Muddassar, M. (2024). Dynamical patterns in stochastic ρ 4 equation: An
analysis of quasi-periodic, bifurcation, chaotic behavior. International Journal of Geometric Methods in
Modern Physics, 2450320.
15 Ali, F., Jhangeer, A., & Muddassar, M. (2024b). A complete dynamical analysis of discrete electric lattice
coupled with modified zakharov–kuznetsov equation. Partial Differential Equations in Applied
Mathematics, 11(100878). https://doi.org/https://doi.org/10.1016/j.padiff.2024.100878
16 Saeed, M. M., Mehmood, M. S., & Muddassar, M. (2024). Spectroscopic analysis of residual radicals of
gamma sterilized uhmwpe with fractional order differential operators. Revista Mexicana de Física, 70(1),
011001 1-. https://doi.org/10.31349/RevMexFis.70.011001
17 Saeed, M. M., Mehmood, M. S., & Muddassar, M. (2023). Fractional order atr-ftir differential
spectroscopy for detection of weak bands and assessing the radiation modifications in gamma
sterilized uhmwpe. PLOS ONE, 18(10), 1–20. https://doi.org/10.1371/journal.pone.0286030
18 Al-Sa’di, S., Bibi, M., & Muddassar, M. (2023). Some hermite-hadamard’s type local fractional integral
inequalities for generalized γ-preinvex function with applications. Mathematical Methods in the Applied
Sciences, 46(2), 2941–2954. https://doi.org/10.1002/mma.8680.
19 Al-Sa’di, S., Bibi, M., Seol, Y., & Muddassar, M. (2023). Milne-type fractal integral inequalities for
generalized m -convex mapping. Fractals, 31(5), 18.
20 Vivas-Cortez, M., Bibi, M., Muddassar, M., & Al-Sa’di, S. (2023). On local fractional integral inequalities
via generalized (h˜1, h˜2)-preinvexity involving local fractional integral operators with mittag-leffler
kernel. Demonstratio Mathematica, 56(1), 20220216. https://doi.org/doi:10.1515/dema-2022-0216
21 Sa’ud, A.-S., Bibi, M., Muddassar, M., & Kermausuor, S. (2023). Generalized m-preinvexity on fractal set
and related local fractional integral inequalities with applications. J. Math. Comp. Sc., 30(4), 352–371.
https://doi.org/10.22436/jmcs.030.04.05
22 Muddassar, M., Siddiqui, N., Hussain, Z., & Tariq, M. (2022). On the s-integral inequalities concerning
k-fractional conformable integrals via pre-invexity. Thai Journal of Mathematics, 20(4), 1451–1459.
https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1412
23 Saeed, M. M., Muddassar, M., Mehmood, M. S., & Musharaf, H. M. (2022). Diffuse reflectance
spectroscopy of γ-irradiated uhmwpe: A novel fractional order based filters approach for accessing the
radiation modification. Radiation Physics and Chemistry, 197, 110163.
https://doi.org/https://doi.org/10.1016/j.radphyschem.2022.110163
24 Bibi, M., & Muddassar, M. (2022a). Integral inequalities for generalized approximately h-convex
functions on fractal sets via generalized local fractional integrals. Innovative Journal of Mathematics
(IJM), 1(3), 1–12. https://doi.org/10.55059/ijm.2022.1.3/48
25 Bibi, M., & Muddassar, M. (2022b). Hermite-hadamard type fractional integral inequalities for strongly
generalized-prequasi-invex function. International Journal of Nonlinear Analysis and Applications, 13(2),
515–525. https://doi.org/10.22075/ijnaa.2021.23370.2524
26 Muddassar, M., Jabeen, T., & Perveen, H. (2022). On inequalities of trapezium type via fractional
integrals operators. International Journal of Emerging Multidisciplinaries: Mathematics, 1(2), artilce 8.
https://doi.org/https://doi.org/10.54938/ijemdm.2022.01.2.42
27 Muddassar, M., Iqbal, M., Jabeen, T., & Haider, G. (2022). A stimulus generalization of double integral
inequalities by the way of fractional integrals. International Journal of Emerging Multidisciplinaries:
Mathematics, 1(1), artilce 9. https://doi.org/https://doi.org/10.54938/ijemdm.2022.01.1.19
28 Muddassar, M., & Bibi, F. (2022). A short note on the fractional trapezium type integral inequalities.
Innovative Journal of Mathematics (IJM), 1(2), 63–70. https://doi.org/10.55059/ijm.2022.1.2/22
29 Soopy Nisar, K., Mustafa, I., Jhangeer, A., Muddassar, M., & Infal, B. (2022). New soliton solutions of
heisenberg ferromagnetic spin chain model. Pramana, 96:28.
https://doi.org/https://doi.org/10.1007/s12043-021-02266-y
30 Muddassar, M., Batool, S., & Jabeen, T. (2022). Trapezoidal error approximation by the way of integral
inequalities for katugampola fractional integral operator. Turkish Journal of Analysis and Number
Theory, 10(1), 15–20. https://doi.org/DOI:10.12691/tjant-10-1-4
31 Jhangeer, A., Muddassar, M., Awrejcewicz, J., Naz, Z., & Bilal Riaz, M. (2022). Phase portrait,
multi-stability, sensitivity and chaotic analysis of gardner’s equation with their wave turbulence and
solitons solutions. Results in Physics, 32, 104981.
https://doi.org/https://doi.org/10.1016/j.rinp.2021.104981
32 Ali, F., Jhangeer, A., Muddassar, M., & Almusawa, H. (2021). Solitonic, quasi-periodic, super nonlinear
and chaotic behaviors of a dispersive extended nonlinear schrödinger equation in an optical fiber.
Results in Physics, 31, 104921. https://doi.org/https://doi.org/10.1016/j.rinp.2021.104921
33 Jhangeer, A., Muddassar, M., Rehman, Z. U., Awrejcewicz, J., & Bilal Riaz, M. (2022). Multistability and
dynamic behavior of non-linear wave solutions for analytical kink periodic and quasi-periodic wave
structures in plasma physics. Results in Physics, 29, 104735.
https://doi.org/https://doi.org/10.1016/j.rinp.2021.104735
34 Jhangeer, A., Muddassar, M., Inc, M., Kousar, M., & Chu, Y.-M. (2021). Computation of complex felds of
perturbed (2 + 1)-dimensional schrödinger’s hyperbolic equation. Optical and Quantum Electronics,
53(352). https://doi.org/https://doi.org/10.1007/s11082-021-02992-y
35 Jhangeer, A., Muddassar, M., Kousar, M., & Infal, B. (2021). Multistability and dynamics of fractional
regularized long wave equation with conformable fractional derivatives. Ain Shams Engineering
Journal, 12(2), 2153–2169. https://doi.org/https://doi.org/10.1016/j.asej.2020.09.027
36 Muddassar, M., Dragomir, S. S., & Hussain, Z. (2020). Rayna’s fractional integral operations on
hermite–hadamard inequalities with η-g-preinvex functions. Adv. Oper. Theory, 5, 1390–1405.
https://doi.org/https://doi.org/10.1007/s43036-020-00045-x
37 Fatima Tahir, S., Muddassar, M., & Mushtaq, M. (2019). A note on integral inequalities on time scales
associated with ostrowski’s type. Journal of Function Spaces, 2019(Article ID 4748373).
https://doi.org/https://doi.org/10.1155/2019/4748373
38 Elahi, Z., & Muddassar, M. (2019). New integral inequalities of hermite–hadamard’s and simpson’s type
for twice differentiable mappings. Math. Sci., 13, 279–285.
https://doi.org/https://doi.org/10.1007/s40096-019-00297-6
39 Hussain, Z., & Muddassar, M. (2019). Extension of results analogous to beta functions by the way of
(α,s) pre invexity. Transylvanian Journal of Mathematics and Mechanics, 11(1-2), 111–115.
40 Fatima Tahir, S., Mushtaq, M., & Muddassar, M. (2019). A new interpretation of hermite-hadamards
type integral inequalities by the way of time scales. J. Comput. Anal. Appl, 26(2), 223–233.
41 Iqbal, M., Habib, M., Siddiqui, n., & Muddassar, M. (2018). Some hermite- hadamard and simpson type
inequalities for convex functions via fractional integrals with applications. J. Comput. Anal. Appl, 25(3),
397–406.
42 Ali, A., Gulshan, G., Hussain, R., Latif, A., & Muddassar, M. (2017). Generalized inequalities of the type
of hermite-hadamard-fejer with quasi-convex functions by way of k-fractional derivatives. J. Comput.
Anal. Appl, 22(7), 1208–1219.
43 Iqbal, M., Qaisar, S., & Muddassar, M. (2016). A short note on integral inequality of type
hermite-hadamard through convexity. J. Comput. Anal. Appl, 21(5), 946–953.
44 Qaisar, S., Iqbal, M., & Muddassar, M. (2016). New hermite-hadamard’s inequalities for preinvex
functions via fractional integrals. J. Comput. Anal. Appl, 20(7), 1318–1328.
45 Irshad, W., Bhatti, M. I., & Muddassar, M. (2016). Some ostrowski type integral inequalities for double
integral on time scales. J. Comput. Anal. Appl, 20(5), 914–927.
46 Dragomir, S. S., Bhatti, M. I., Iqbal, M., & Muddassar, M. (2015). Some new fractional integral
hermite-hadamard type inequalities. J. Comput. Anal. Appl, 18(4), 655–661.
47 Iqbal, M., Iqbal Bhatti, M., & Muddassar, M. (2014). Some new integral inequalities of the type of
hermite-hadamard’s for the mappings whose absolute values of their derivative are convex. J. Comput.
Anal. Appl, 16(4), 643–653.
48 Muddassar, M., & Ali, A. (2014). New integral inequalities through generalized convex functions. Punjab
University Journal of Mathematics, 46(2), 47–51.
49 Muddassar, M., & Iqbal Bhatti, M. (2014). Some generalizations of hermite-hadamard type integral
inequalities and their applications. Punjab University Journal of Mathematics, 46(1), 9–18.
50 Qaisar, S., Muddassar, M., & Iqbal, M. (2014). New integral inequalities of the hermite-hadamard type
through invexity. Proceedings of the Pakistan Academy of Sciences, 51(2), 145–155.
51 Atta-ur-Rahman, R., Ali Nasir, M., Ullah, M., Asim Pasha, R., Anjum, N. A., Mehmood, S.,
Muddassar, M., Farooqi, I., Asghar, W., & Imran, M. (2013). Demarcation of fatigue crack cumulative
damage (initiation + stage i) of aluminum alloy under combined loading. Life Science Journal, 10(Special
Issue 12), 678–683.
52 Muddassar, M., & Iqbal Bhatti, M. (2013). Some generalizations of hadamard’s-type inequalities through
differentiability for s-convex functions and their applications. Indian Journal of Pure and Applied
Mathematics, 44(2), 131–151.
53 Muddassar, M., Iqbal Bhatti, M., & Irshad, W. (2013). Generalisations of integral inequalities of
hermite–hadamard type through convexity. Bulletin of the Australian Mathematical Society, 88(02),
320–330.
54 Muddassar, M., Iqbal Bhatti, M., & Iqbal, M. (2012). Some new s-hermite-hadamard type inequalities for
differentiable functions and their applications. Proceedings of the Pakistan Academy of Sciences, 49(1),
9–17.
55 Iqbal, M., Iqbal Bhatti, M., & Muddassar, M. (2011). Hadamard-type inequalities for h-convex functions.
Pakistan Journal of Science, 63(3), 170–173.
Trainings & Workshops Organized
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.
Adviser of PhD Thesis
Dissertation Title: Generalization of Dynamic Inequalities & Their Applications
Submitted Date: February 2020 (UET, Lahore) .
Adviser for M.Phil-thesis
Adviser of PhD Thesis
Dissertation Title: Generalization of Dynamic Inequalities & Their Applications
Submitted Date: February 2020 (UET, Lahore) .
Adviser for M.Phil-thesis
Fractional Calculus, Numerical Functional Analysis, Classical Analysis