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[HTML][HTML] Comparative analysis of the fractional order Cahn-Allen equation
This current work presents a comparative study of the fractional-order Cahn-Allen (CA)
equation, where the non-integer derivative is taken in the Caputo sense. The Cahn-Allen …
equation, where the non-integer derivative is taken in the Caputo sense. The Cahn-Allen …
Numerical solutions of fractional-order electrical rlc circuit equations via three numerical techniques
In this article, three different techniques, the Fractional Perturbation Iteration Method (FPIA),
Fractional Successive Differentiation Method (FSDM), and Fractional Novel Analytical …
Fractional Successive Differentiation Method (FSDM), and Fractional Novel Analytical …
Freelance model with Atangana–Baleanu Caputo fractional derivative
As technology advances and the Internet makes our world a global village, it is important to
understand the prospective career of freelancing. A novel symmetric fractional mathematical …
understand the prospective career of freelancing. A novel symmetric fractional mathematical …
Application of Aboodh homotopy perturbation transform method for fractional-order convection–reaction–diffusion equation within caputo and atangana–baleanu …
This article is an analysis of fractional nonlinear convection–reaction–diffusion equations
involving the fractional Atangana–Baleanu and Caputo derivatives. An efficient Aboodh …
involving the fractional Atangana–Baleanu and Caputo derivatives. An efficient Aboodh …
Efficient solutions for fractional Tsunami shallow-water mathematical model: A comparative study via semi analytical techniques
In this study, we delve into the effective solution of the fractional tsunami shallow-water
mathematical model. Tsunami propagation and inundation modeling is of paramount …
mathematical model. Tsunami propagation and inundation modeling is of paramount …
Symmetrical solutions for non-local fractional integro-differential equations via caputo–katugampola derivatives
Fractional calculus, which deals with the concept of fractional derivatives and integrals, has
become an important area of research, due to its ability to capture memory effects and non …
become an important area of research, due to its ability to capture memory effects and non …
A new hybrid optimal auxiliary function method for approximate solutions of non-linear fractional partial differential equations
This study uses the optimal auxiliary function method to approximate solutions for fractional-
order non-linear partial differential equations, utilizing Riemann–Liouville's fractional …
order non-linear partial differential equations, utilizing Riemann–Liouville's fractional …
Analytical analysis of fractional nonlinear Jaulent-Miodek system with energy-dependent Schrödinger potential
In this work, a novel technique is considered for analyzing the fractional-order Jaulent-
Miodek system. The suggested approach is based on the use of the residual power series …
Miodek system. The suggested approach is based on the use of the residual power series …
A new Extension of optimal auxiliary function method to fractional non-linear coupled ITO system and time fractional non-linear KDV system
In this article, we investigate the utilization of Riemann–Liouville's fractional integral and the
Caputo derivative in the application of the Optimal Auxiliary Function Method (OAFM). The …
Caputo derivative in the application of the Optimal Auxiliary Function Method (OAFM). The …
[HTML][HTML] Simulations of the one and two dimensional nonlinear evolutionary partial differential equations: a numerical study
In this work a hybrid scheme is proposed for the numerical study of various evolutionary
partial differential equations (EPDEs). In proposed strategy, temporal derivatives are …
partial differential equations (EPDEs). In proposed strategy, temporal derivatives are …