Computation of certain integral formulas involving generalized Wright function

N Khan, T Usman, M Aman, S Al-Omari… - Advances in Difference …, 2020 - Springer
The aim of the paper is to derive certain formulas involving integral transforms and a family
of generalized Wright functions, expressed in terms of the generalized Wright …

Numerical solutions of space-fractional advection–diffusion–reaction equations

VAL Salomoni, N De Marchi - Fractal and Fractional, 2021 - mdpi.com
Background: solute transport in highly heterogeneous media and even neutron diffusion in
nuclear environments are among the numerous applications of fractional differential …

A new integral operational matrix with applications to multi-order fractional differential equations

I Talib, MN Alam, D Baleanu, D Zaidi, A Marriyam - 2021 - earsiv.cankaya.edu.tr
In this article, we propose a numerical method that is completely based on the operational
matrices of fractional integral and derivative operators of fractional Legendre function …

[PDF][PDF] Nonlinear Fredholm integro-differential equation in two-dimensional and its numerical solutions

AM Al-Bugami - AIMS Mathematics, 2021 - aimspress.com
Nonlinear Fredholm integro-differential equation in two-dimensional and its numerical
solutions Page 1 AIMS Mathematics, 6(10): 10383–10394. DOI: 10.3934/math.2021602 …

Theoretical and spectral numerical study for fractional Van der Pol equation

SS Ezz‐Eldien - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
This manuscript concerns with both theoretical and numerical study for a generalized form of
fractional Van der Pol equations (FVDPEs). The Schauder fixed point and Banach …

Modelling Fractional Advection–Diffusion Processes via the Adomian Decomposition

A Antonini, VAL Salomoni - Mathematics, 2023 - mdpi.com
When treating geomaterials, fractional derivatives are used to model anomalous dispersion
or diffusion phenomena that occur when the mass transport media are anisotropic, which is …

Space time fractional Ito system with variable coefficients: explicit solution, conservation laws and numerical approximation

B Kour, M Inc, A Arora - Multidiscipline Modeling in Materials and …, 2023 - emerald.com
Purpose The purpose of this paper is to present the residual power series method for solving
the space time fractional variable coefficients Ito system. Design/methodology/approach A …

The exponential behavior of 3D stochastic primitive equations driven by fractional noise

L Wang, G Zhou, B Guo - Mathematical Methods in the Applied …, 2021 - Wiley Online Library
The long‐time behavior of flows is a very interesting and important problem in the theory of
stochastic hydrodynamic equations. Inspired by the theory of dynamic system, we develop a …

On (p(x), q(x))‐Laplace equations in without Ambrosetti‐Rabinowitz condition

A Nastasi - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
In the present work, we consider a (p (x), q (x))‐elliptic equation describing the behavior of a
double‐phase anisotropic problem which has relevance in electrorheological fluid …