Investigating symmetric soliton solutions for the fractional coupled konno–onno system using improved versions of a novel analytical technique
The present research investigates symmetric soliton solutions for the Fractional Coupled
Konno–Onno System (FCKOS) by using two improved versions of an Extended Direct …
Konno–Onno System (FCKOS) by using two improved versions of an Extended Direct …
A comparative analysis of fractional-order Kaup–Kupershmidt equation within different operators
In this paper, we find the solution of the fractional-order Kaup–Kupershmidt (KK) equation by
implementing the natural decomposition method with the aid of two different fractional …
implementing the natural decomposition method with the aid of two different fractional …
Solving Fractional‐Order Diffusion Equations in a Plasma and Fluids via a Novel Transform
Motivated by the importance of diffusion equations in many physical situations in general
and in plasma physics in particular, therefore, in this study, we try to find some novel …
and in plasma physics in particular, therefore, in this study, we try to find some novel …
Fractional view analysis of Kuramoto–Sivashinsky equations with non-singular kernel operators
In this article, we investigate the nonlinear model describing the various physical and
chemical phenomena named the Kuramoto–Sivashinsky equation. We implemented the …
chemical phenomena named the Kuramoto–Sivashinsky equation. We implemented the …
Fractional series solution construction for nonlinear fractional reaction-diffusion Brusselator model utilizing Laplace residual power series
This article investigates different nonlinear systems of fractional partial differential equations
analytically using an attractive modified method known as the Laplace residual power series …
analytically using an attractive modified method known as the Laplace residual power series …
[HTML][HTML] Efficient computational approaches for fractional-order Degasperis-Procesi and Camassa–Holm equations
In this study, we present a comprehensive comparison of two powerful analytical techniques,
Aboodh Adomian decomposition method (AADM) and homotopy perturbation transform …
Aboodh Adomian decomposition method (AADM) and homotopy perturbation transform …
Exploring soliton solutions in nonlinear spatiotemporal fractional quantum mechanics equations: an analytical study
In this work, travelling wave solutions of a nonlinear system of fractional Schrödinger
equations (FSEs) with conformable fractional derivatives are studied. We examine the …
equations (FSEs) with conformable fractional derivatives are studied. We examine the …
Abundant solitary wave solutions for the Boiti–Leon–Manna–Pempinelli equation with M-truncated derivative
In this work, we consider the Boiti–Leon–Manna–Pempinelli equation with the M-truncated
derivative (BLMPE-MTD). Our aim here is to obtain trigonometric, rational and hyperbolic …
derivative (BLMPE-MTD). Our aim here is to obtain trigonometric, rational and hyperbolic …
Numerical Investigation of Fractional-Order Fornberg–Whitham Equations in the Framework of Aboodh Transformation
In this investigation, the fractional Fornberg–Whitham equation (FFWE) is solved and
analyzed via the variational iteration method (VIM) and Adomian decomposition method …
analyzed via the variational iteration method (VIM) and Adomian decomposition method …
A reliable technique for solving fractional partial differential equation
The development of numeric-analytic solutions and the construction of fractional-order
mathematical models for practical issues are of the greatest importance in a variety of …
mathematical models for practical issues are of the greatest importance in a variety of …