[HTML][HTML] Fractional modeling and analysis of unsteady squeezing flow of Casson nanofluid via extended He-Laplace algorithm in Liouville-Caputo sense

M Qayyum, S Afzal, E Ahmad, MB Riaz - Alexandria Engineering Journal, 2023 - Elsevier
The objective of this manuscript is to model the fully fractional unsteady Casson nanofluid
flow between two parallel plates influenced by magneto hydrodynamic forces and Darcian …

[HTML][HTML] Construction of exotical soliton-like for a fractional nonlinear electrical circuit equation using differential-difference Jacobi elliptic functions sub-equation …

E Fendzi-Donfack, D Kumar, E Tala-Tebue, L Nana… - Results in Physics, 2022 - Elsevier
The deal of this paper is to use the differential-difference Jacobi elliptic functions sub-
equation method for constructing exact solutions of nonlinear electrical circuit including …

A high resolution Hermite wavelet technique for solving space–time-fractional partial differential equations

M Faheem, A Khan, A Raza - Mathematics and Computers in Simulation, 2022 - Elsevier
This paper aims to develop an improved Hermite wavelet resolution method for solving
space–time-fractional partial differential equations (STFPDE). Unlike the previous wavelet …

Solutions for time-fractional coupled nonlinear Schrödinger equations arising in optical solitons

NI Okposo, P Veeresha, EN Okposo - Chinese Journal of Physics, 2022 - Elsevier
In this work, an efficient novel technique, namely, the q-homotopy analysis transform method
(q-HATM) is applied to obtain analytical solutions for a system of time-fractional coupled …

On a reaction–diffusion model for calcium dynamics in neurons with Mittag–Leffler memory

H Joshi, BK Jha - The European Physical Journal Plus, 2021 - Springer
In recent times, the Atangana–Baleanu–Caputo (ABC) derivative is one of the robust
fractional operators to solve complex dynamical problems due to its nonlocal and non …

Stability analysis of fractional-order differential equations with multiple delays: The 1< α< 2 case

Z Yao, Z Yang, Y Fu, S Liu - Chinese Journal of Physics, 2024 - Elsevier
In this paper, the asymptotic stability of nonlinear fractional-order differential equations with
multiple delays under the Caputo's fractional derivative with 1< α< 2 is considered …

[HTML][HTML] An efficient semi-analytical method for solving the generalized regularized long wave equations with a new fractional derivative operator

HM Srivastava, S Deniz, KM Saad - Journal of King Saud University …, 2021 - Elsevier
In this work, the newly developed optimal perturbation iteration technique with Laplace
transform is applied to the generalized regularized long wave equations with a new …

A high-order numerical scheme based on graded mesh and its analysis for the two-dimensional time-fractional convection-diffusion equation

P Roul, V Rohil - Computers & Mathematics with Applications, 2022 - Elsevier
This work proposes a numerical method for solving the two-dimensional time-fractional
convection-diffusion (TFCD) equation. The time-fractional derivative is considered in the …

Fractional Modeling of Non‐Newtonian Casson Fluid between Two Parallel Plates

M Qayyum, S Afzal, E Ahmad - Journal of Mathematics, 2023 - Wiley Online Library
In this manuscript, fractional modeling of non‐Newtonian Casson fluid squeezed between
two parallel plates is performed under the influence of magneto‐hydro‐dynamic and …

[HTML][HTML] Existence and uniqueness solution analysis of time-fractional unstable nonlinear Schrödinger equation

MA Khatun, MA Arefin, MA Akbar, MH Uddin - Results in Physics, 2024 - Elsevier
The time-fractional unstable nonlinear Schrödinger (NLS) equations capture the time
evolution of disturbances within media, tailored for describing phenomena in unstable …