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Stability analysis of neutral delay fractional differential equations with Erdelyi�Kober fractional integral boundary conditions
(Elsevier B.V., 2023-08-11)
The primary focus of this article is to provide sufficient conditions for the Ulam�Hyers stability of neutral delay fractional differential equations involving Hilfer fractional derivatives and Erdelyi�Kober fractional ...
Transmission dynamics of a novel fractional model for the Marburg virus and recommended actions
(Springer Science and Business Media Deutschland GmbH, 2023-08-02)
Marburg virus disease is a particularly virulent illness that causes hemorrhagic fever and has a fatality rate of up to 88%. It belongs to the same family of pathogens as the Ebola virus. The disease was first identified ...
Existence Results of Langevin Equations with Caputo-Hadamard Fractional Operator
(Hindawi Limited, 2023-06-24)
In this manuscript, we deal with a nonlinear Langevin fractional differential equation that involves the Caputo-Hadamard and Caputo fractional operators, with nonperiodic and nonlocal integral boundary conditions. The ...
Mild solutions of coupled hybrid fractional order system with caputo-hadamard derivatives
(World Scientific, 2021-05-15)
This paper is devoted to prove the existence of mild solutions of coupled hybrid fractional order system with Caputo-Hadamard derivatives using Dhage fixed point theorem in Banach algebras. In order to confirm the applicability ...
COMPUTATIONAL STUDY OF FRACTIONAL-ORDER VECTOR BORNE DISEASES MODEL
(World Scientific, 2022-01-25)
In this paper, we solve a nonlinear fractional-order model for analyzing the dynamical behavior of vector-borne diseases within the frame of Caputo-fractional derivative. The proposed mathematical model advances the existing ...
Stability analysis of solutions and existence theory of fractional Lagevin equation
(Elsevier B.V., 2021-03-01)
The present article describes fractional Langevin equations (FDEs) invloving Caputo Hadamard-derivative of independent orders connected with non-local integral and non-periodic boundary conditions. The stability, existence, ...
Study of Hilfer fractional evolution equations by the properties of controllability and stability
(Elsevier B.V., 2021-03-06)
This paper is devoted to discuss Hilfer fractional evolution equations through its controllability and stability in a Banach space. We achieve our claims and conclusions by first demonstrating the nature and uniqueness of ...
Existence and stability results for nonlocal boundary value problems of fractional order
(Springer Science and Business Media Deutschland GmbH, 2022-04-18)
In this paper, we prove the existence and uniqueness of solutions for the nonlocal boundary value problem (BVP) using Caputo fractional derivative (CFD). We derive Green�s function and give some estimation for it to derive ...
Existence of solutions by fixed point theorem of general delay fractional differential equation with p-Laplacian operator
(American Institute of Mathematical Sciences, 2023-02-27)
In this manuscript, the main objective is to analyze the existence, uniqueness,(EU) and stability of positive solution for a general class of non-linear fractional differential equation (FDE) with fractional differential ...
Analysis of the far-field behavior of waves in magnetogasdynamic
(American Institute of Mathematical Sciences, 2023-01-13)
Herein the research objects, a hyperbolic quasi-linear system of governing equations was solved by an asymptotic method (far-field technique) with explaining a 1-D unsteady planar and cylindrically symmetric flows in ...