[PDF][PDF] A review on integral transforms of fractional integral and derivative

MA Hussein - International Academic Journal of Science and …, 2022 - researchgate.net
A Review on Integral Transforms of Fractional Integral and Derivative Page 1 52 DOI:10.9756/IAJSE/V9I2/IAJSE0914
Received:22 June 2022/Accepted:15 July 2022/Published:30 July 2022 International …

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 …

On Analytical Solution of Time‐Fractional Biological Population Model by means of Generalized Integral Transform with Their Uniqueness and Convergence Analysis

S Rashid, R Ashraf, E Bonyah - Journal of Function Spaces, 2022 - Wiley Online Library
This research utilizes the generalized integral transform and the Adomian decomposition
method to derive a fascinating explicit pattern for outcomes of the biological population …

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 …

Unstable novel and accurate soliton wave solutions of the nonlinear biological population model

RAM Attia, J Tian, D Lu, JFG Aguilar… - Arab Journal of Basic …, 2022 - Taylor & Francis
This paper investigates the soliton wave solution of the nonlinear biological population
(NBP) model by employing a novel computational scheme. The selected model for this study …

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 …

Novel approach for nonlinear time-fractional Sharma-Tasso-Olever equation using Elzaki transform

NS Malagi, P Veeresha, GD Prasanna… - An International Journal …, 2023 - ijocta.org
In this article, we demonstrated the study of the time-fractional nonlinear Sharma-Tasso-
Olever (STO) equation with different initial conditions. The novel technique, which is the …

A semi‐analytical approach for fractional order Boussinesq equation in a gradient unconfined aquifers

S Rashid, KT Kubra, H Jafari… - Mathematical Methods in …, 2022 - Wiley Online Library
In this investigation, we propose a semi‐analytical technique to solve the fractional order
Boussinesq equation (BsEq) that pertains the groundwater level in a gradient unconfined …

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 …

[HTML][HTML] An efficient analytical approach with novel integral transform to study the two-dimensional solute transport problem

M Sunitha, F Gamaoun, A Abdulrahman… - Ain Shams Engineering …, 2023 - Elsevier
The q-homotopy analysis method (q-HAM) in combine with the novel integral transform
known as Elzaki transform (ET) leads to an efficient analytical technique called, the q …