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L.K. Yadav et.al. / IJOCTA, Vol.15, No.1, pp.35-49 (2025)

[32] Liao, S. J. (1992). The proposed homotopy anal- Equations from Manipal University Jaipur, Jaipur,
ysis technique for the solution of nonlinear prob- Rajasthan, India. Currently, he is work- ing at
lems (PhD thesis). Shanghai Jiao Tong Univer- Vivekananda Global University, Jaipur as Assistant
sity, Shanghai. Professor in the Department of Mathematics. His re-
[33] Liao, S. J. (1992). An approximate solution tech- search interest is in the area of Applied Mathematics
nique not depending on small parameters: A such as Numerical Solutions of Partial Differential
special example. International Journal of Non- Equations, Mathematical Modelling, Computational
Linear Mechanics, 30(3), 371-380. https://do aspects in Physics, Biology and Finance, etc.
i.org/10.1016/0020-7462(94)00054-E https://orcid.org/0000-0003-0896-5723
[34] El-Sayed, S. M., & Kaya, D. (2005). Exact and
numerical travelling wave solutions of Whitham- Murli Manohar Gour has completed Ph.D. in Geo-
Broer-Kaup equations. Applied Mathematics and metric Function Theory and Special Function from
Computation, 167, 1339-1349. https://doi.or Manipal Univer- sity Jaipur, Jaipur, Rajasthan, In-
g/10.1016/j.amc.2004.08.012 dia. Currently, he is working at Vivekananda Global
[35] Rafei, M., & Daniali, H. (2007). Application of University, Jaipur as Assistant Professor in the De-
the variational iteration method to the Whitham- partment of Mathematics. His research interest is in
Broer-Kaup equations. Computers & Mathemat- the area of Applied Mathematics such as Geometric
ics with Applications, 54, 1079-1085. https://do Function Theory, Numerical Solutions of Fractional
i.org/10.1016/j.camwa.2006.12.054 Differential Equations, Mathematical Modelling etc.
[36] Nawaz, R., Kumam, P., Farid, S., Shutaywi, https://orcid.org/0000-0003-2907-8226
M., Shah, Z., & Deebani, W. (2020). Applica-
tion of new iterative method to time-fractional
Vikash Kumar Meena is research scholar at
Whitham-Broer-Kaup equations. Frontiers in
Vivekananda Global University, Jaipur, India. His re-
Physics, 8, 1-10. https://doi.org/10.3389/ search interests include Mathematical Modelling and
fphy.2020.00104 Fractional Calculus.
[37] Veeresha, P., Prakasha, D. G., Qurashi, M. A., & https://orcid.org/0009-0004-6068-2733
Baleanu, D. (2019). A reliable technique for frac-
tional modified Boussinesq and approximate long
Ebenezer Bonyah is Professor in Department of In-
wave equations. Advances in Difference Equa-
formation Technology Education, University of Educa-
tions, 2019, 253-323. https://doi.org/10.118
tion Winneba (Kumasi Campus), Ghana. His research
6/s13662-019-2185-2
interests include Mathematical biology, Mathematical
[38] Yasmin, H. (2022). Numerical analysis of time-
Modelling and Fractional Calculus.
fractional Whitham-Broer-Kaup equations with
https://orcid.org/0000-0003-0808-4504
exponential-decay kernel. Fractal and Fractional,
6(3), 142. https://doi.org/10.3390/fractalf
Sunil Dutt Purohit obtained his M.Sc. (Gold Medal-
ract6030142
ist) and Ph.D. degree from the faculty of science at Jai
[39] Yadav, L. K., Agarwal, G., Gour, M. M., & Ku-
Narayan Vyas University, Jodhpur, India. He also had
mari, M. (2023). Analytical approach to study
a Joiner and Senior Research Fellowship of Council
weakly nonlocal fractional Schr¨odinger equation
of Scientific and Industrial Research (CSIR) and then
via novel transform. International Journal of Dy-
worked in the Department of Mathematics and Sta-
namics and Control, 12, 271-282. https://doi.
tistics, Jai Narayan Vyas University, Jodhpur. After
org/10.1007/s40435-023-01246-x
that he joint as Assistant Professor and Head, Depart-
[40] Maitama, S., & Zhao, W. (2019). New integral
ment of Basic Sciences, Maharana Pratap University
transform: Shehu transform a generalization of
of Agriculture & Technology, Udaipur, India. Cur-
Sumudu and Laplace transform for solving differ-
rently, he is Associate Professor of Mathematics, De-
ential equations. International Journal of Anal-
partment of HEAS (Mathematics), Rajasthan Techni-
ysis and Applications, 17(2), 167-190. https:
cal University, Kota. His research interest includes
//doi.org/10.28924/2291-8639-17-2019-167
Special functions, Fractional Calculus, Integral trans-
forms, Basic Hypergeometric Series, Geometric Func-
tion Theory and Mathematical modeling. He has pub-
lished more than 250 research papers in international
Lokesh Kumar Yadav has completed Ph.D. in esteemed journals.
Analytical Study of Fractional Order Differential https://orcid.org/0000-0002-1098-5961

An International Journal of Optimization and Control: Theories & Applications
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