Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel

A Khan, H Khan, JF Gómez-Aguilar… - Chaos, Solitons & …, 2019 - Elsevier
In this paper we are established the existence of positive solutions (EPS) and the Hyers-
Ulam (HU) stability of a general class of nonlinear Atangana-Baleanu-Caputo (ABC) …

A singular ABC-fractional differential equation with p-Laplacian operator

H Khan, F Jarad, T Abdeljawad, A Khan - Chaos, Solitons & Fractals, 2019 - Elsevier
In this article, we have focused on the existence and uniqueness of solutions and Hyers–
Ulam stability for ABC-fractional DEs with p-Laplacian operator involving spatial singularity …

Existence and approximate controllability of Hilfer fractional evolution equations with almost sectorial operators

P Bedi, A Kumar, T Abdeljawad, ZA Khan… - Advances in Difference …, 2020 - Springer
In this article, we are concerned with the existence of mild solutions and approximate
controllability of Hilfer fractional evolution equations with almost sectorial operators and …

[HTML][HTML] Stability analysis of solutions and existence theory of fractional Lagevin equation

A Devi, A Kumar, T Abdeljawad, A Khan - Alexandria Engineering Journal, 2021 - Elsevier
The present article describes fractional Langevin equations (FDEs) invloving Caputo
Hadamard-derivative of independent orders connected with non-local integral and non …

Existence of solution for a fractional‐order Lotka‐Volterra reaction‐diffusion model with Mittag‐Leffler kernel

H Khan, Y Li, A Khan, A Khan - Mathematical Methods in the …, 2019 - Wiley Online Library
In the literature, many researchers have studied Lotka‐Volterra (L‐V) models for different
types of studies. In order to continue the study, we consider a fractional‐order L‐V model …

[PDF][PDF] Stability results and existence theorems for nonlinear delay-fractional differential equations with ϕ∗ p-operator

H Khan, C Tunc, A Khan - J. Appl. Anal. Comput, 2020 - academia.edu
The study of delay-fractional differential equations (fractional DEs) have recently attracted a
lot of attention from scientists working on many different subjects dealing with …

Study of a sequential -Hilfer fractional integro-differential equations with nonlocal BCs

F Haddouchi, ME Samei, S Rezapour - Journal of Pseudo-Differential …, 2023 - Springer
This paper deals with the existence and uniqueness of solutions for a nonlinear boundary
value problem involving a sequential ψ-Hilfer fractional integro-differential equations with …

Stability analysis for fractional order advection–reaction diffusion system

H Khan, JF Gómez-Aguilar, A Khan, TS Khan - Physica A: Statistical …, 2019 - Elsevier
In this paper, we present an alternative representation of the advection–reaction diffusion
model involving fractional-order derivatives with Mittag-Leffler kernel. The study includes …

Existence of positive solution and Hyers–Ulam stability for a nonlinear singular-delay-fractional differential equation

H Khan, T Abdeljawad, M Aslam, RA Khan… - Advances in Difference …, 2019 - Springer
In this article, we consider a study of a general class of nonlinear singular fractional DEs with
p-Laplacian for the existence and uniqueness (EU) of a positive solution and the Hyers …

Stability analysis of a nonlinear coupled implicit switched singular fractional differential system with p-Laplacian

M Ahmad, A Zada, J Alzabut - Advances in Difference Equations, 2019 - Springer
This paper deals with existence, uniqueness, and Hyers–Ulam stability of solutions to a
nonlinear coupled implicit switched singular fractional differential system involving Laplace …