A novel analytical view of time-fractional Korteweg-De Vries equations via a new integral transform

S Rashid, A Khalid, S Sultana, Z Hammouch, R Shah… - Symmetry, 2021 - mdpi.com
We put into practice relatively new analytical techniques, the Shehu decomposition method
and the Shehu iterative transform method, for solving the nonlinear fractional coupled …

Novel computations of the time-fractional Fisher's model via generalized fractional integral operators by means of the Elzaki transform

S Rashid, Z Hammouch, H Aydi, AG Ahmad… - Fractal and …, 2021 - mdpi.com
The present investigation dealing with a hybrid technique coupled with a new iterative
transform method, namely the iterative Elzaki transform method (IETM), is employed to solve …

Novel numerical investigations of fuzzy Cauchy reaction–diffusion models via generalized fuzzy fractional derivative operators

MA Alqudah, R Ashraf, S Rashid, J Singh… - Fractal and …, 2021 - mdpi.com
The present research correlates with a fuzzy hybrid approach merged with a homotopy
perturbation transform method known as the fuzzy Shehu homotopy perturbation transform …

Construction of an approximate analytical solution for multi-dimensional fractional Zakharov–Kuznetsov equation via Aboodh Adomian decomposition method

S Rashid, KT Kubra, JLG Guirao - Symmetry, 2021 - mdpi.com
In this paper, the Aboodh transform is utilized to construct an approximate analytical solution
for the time-fractional Zakharov–Kuznetsov equation (ZKE) via the Adomian decomposition …

Analytic fuzzy formulation of a time-fractional Fornberg–Whitham model with power and Mittag–Leffler kernels

S Rashid, R Ashraf, AO Akdemir, MA Alqudah… - Fractal and …, 2021 - mdpi.com
This manuscript assesses a semi-analytical method in connection with a new hybrid fuzzy
integral transform and the Adomian decomposition method via the notion of fuzziness known …

Fractional view of heat‐like equations via the Elzaki transform in the settings of the Mittag–Leffler function

S Rashid, KT Kubra… - Mathematical Methods in …, 2023 - Wiley Online Library
In this article, the Elzaki homotopy perturbation transform method (EHPTM) is profusely
employed to discover the approximate solutions of fractional‐order (FO) heat‐like equations …

Explicit travelling wave solutions to the time fractional Phi-four equation and their applications in mathematical physics

A Farooq, T Shafique, M Abbas, A Birhanu… - Scientific Reports, 2025 - nature.com
In applied research, fractional calculus plays an important role for comprehending a wide
range of intricate physical phenomena. One of the Klein-Gordon model's peculiar case …

New computations for the two-mode version of the fractional Zakharov-Kuznetsov model in plasma fluid by means of the Shehu decomposition method

M Al-Qurashi, S Rashid, F Jarad, M Tahir, AM Alsharif - 2022 - earsiv.cankaya.edu.tr
In this research, the Shehu transform is coupled with the Adomian decomposition method for
obtaining the exact-approximate solution of the plasma fluid physical model, known as the …

On Comparative Analysis for the Black‐Scholes Model in the Generalized Fractional Derivatives Sense via Jafari Transform

S Rashid, S Sultana, R Ashraf… - Journal of Function …, 2021 - Wiley Online Library
The Black‐Scholes model is well known for determining the behavior of capital asset pricing
models in the finance sector. The present article deals with the Black‐Scholes model via the …

[HTML][HTML] Numerical solutions of space-fractional diffusion equations via the exponential decay kernel

M Alqhtani, KM Saad - AIMS Mathematics, 2022 - aimspress.com
The main object of this paper is to investigate the spectral collocation method for three new
models of space fractional Fisher equations based on the exponential decay kernel, for …