Extraction of exact solutions of higher order Sasa-Satsuma equation in the sense of beta derivative

E Fadhal, A Akbulut, M Kaplan, M Awadalla… - Symmetry, 2022 - mdpi.com
Nearly every area of mathematics, natural, social, and engineering now includes research
into finding exact answers to nonlinear fractional differential equations (NFDES). In order to …

[PDF][PDF] A survey of KdV-CDG equations via nonsingular fractional operators

I Ullah, A Ullah, S Ahmad, H Ahmad, TA Nofal - AIMS Math, 2023 - researchgate.net
In this article, the Korteweg-de Vries-Caudrey-Dodd-Gibbon (KdV-CDG) equation is
explored via a fractional operator. A nonlocal differential operator with a nonsingular kernel …

Sensitivity and wave propagation analysis of the time-fractional (3+ 1)-dimensional shallow water waves model

M Şenol, M Gençyiğit, U Demirbilek… - Zeitschrift für angewandte …, 2024 - Springer
This study investigates the exact solutions of the time-fractional (3+ 1)-dimensional
combined Korteweg–de Vries Benjamin–Bona–Mahony (KdV-BBM) equation. The …

Solution of time-fractional gas dynamics equation using Elzaki decomposition method with Caputo-Fabrizio fractional derivative

M Sadaf, Z Perveen, G Akram, U Habiba, M Abbas… - Plos one, 2024 - journals.plos.org
In this article, Elzaki decomposition method (EDM) has been applied to approximate the
analytical solution of the time-fractional gas-dynamics equation. The time-fractional …

Efficient techniques for nonlinear dynamics: a study of fractional generalized quintic Ginzburg-Landau equation

KK Ali, FE Abd Elbary, M Maneea - Journal of Taibah University for …, 2024 - Taylor & Francis
In this research, we explore the solution of the fractional Generalized Quintic Complex
Ginzburg-Landau equation (GQCGLE) using the Controlled Picard Transform Method. We …

LADM procedure to find the analytical solutions of the nonlinear fractional dynamics of partial integro-differential equations

Q Khan, H Khan, P Kumam, F Tchier… - Demonstratio …, 2024 - degruyter.com
Generally, fractional partial integro-differential equations (FPIDEs) play a vital role in
modeling various complex phenomena. Because of the several applications of FPIDEs in …

Revisiting Fisher-KPP model to interpret the spatial spreading of invasive cell population in biology

GC Paul, D Kumar - Heliyon, 2022 - cell.com
In this paper, the homotopy analysis method, a powerful analytical technique, is applied to
obtain analytical solutions to the Fisher-KPP equation in studying the spatial spreading of …

Theoretical examination of solitary waves for Sharma–Tasso–Olver Burger equation by stability and sensitivity analysis

E Hussain, A Mutlib, Z Li, A E. Ragab… - … Mathematik und Physik, 2024 - Springer
Abstract The Sharma–Tasso–Olver–Burgers (STOB) equation is a nonlinear partial
differential equation that appears in many branches of science, engineering and describes …

Pell polynomial solution of the fractional differential equations in the Caputo–Fabrizio sense

H Çerdik Yaslan - Indian Journal of Pure and Applied Mathematics, 2024 - Springer
In this paper, linear differential equations involving fractional and integer order derivatives
are considered. Here fractional derivatives are defined in the Caputo–Fabrizio sense. A …

[PDF][PDF] Extraction of Exact Solutions of Higher Order Sasa-Satsuma Equation in the Sense of Beta Derivative. Symmetry 2022, 14, 2390

E Fadhal, A Akbulut, M Kaplan, M Awadalla… - 2022 - academia.edu
Nearly every area of mathematics, natural, social, and engineering now includes research
into finding exact answers to nonlinear fractional differential equations (NFDES). In order to …