Investigation of the p-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives

MM Matar, MI Abbas, J Alzabut, MKA Kaabar… - Advances in Difference …, 2021 - Springer
A newly proposed p-Laplacian nonperiodic boundary value problem is studied in this
research paper in the form of generalized Caputo fractional derivatives. The existence and …

Solvability of Langevin equations with two Hadamard fractional derivatives via Mittag–Leffler functions

MI Abbas, M Alessandra Ragusa - Applicable Analysis, 2022 - Taylor & Francis
In this paper we discuss the solvability of Langevin equations with two Hadamard fractional
derivatives. The method of this discussion is to study the solutions of the equivalent Volterra …

The generalized U–H and U–H stability and existence analysis of a coupled hybrid system of integro-differential IVPs involving φ-Caputo fractional operators

A Boutiara, S Etemad, A Hussain… - Advances in Difference …, 2021 - Springer
We investigate the existence and uniqueness of solutions to a coupled system of the hybrid
fractional integro-differential equations involving φ-Caputo fractional operators. To achieve …

Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions

A Zada, J Alzabut, H Waheed, IL Popa - Advances in Difference Equations, 2020 - Springer
This paper is concerned with a class of impulsive implicit fractional integrodifferential
equations having the boundary value problem with mixed Riemann–Liouville fractional …

Hyers–Ulam stability of a coupled system of fractional differential equations of Hilfer–Hadamard type

M Ahmad, A Zada, J Alzabut - Demonstratio Mathematica, 2019 - degruyter.com
In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer–
Hadamard type fractional differential system are obtained by using Kransnoselskii's fixed …

On the existence of positive solutions for generalized fractional boundary value problems

A Seemab, M Ur Rehman, J Alzabut, A Hamdi - Boundary Value Problems, 2019 - Springer
The existence of positive solutions is established for boundary value problems defined
within generalized Riemann–Liouville and Caputo fractional operators. Our approach is …

On Hyers–Ulam stability of a multi-order boundary value problems via Riemann–Liouville derivatives and integrals

S Ben Chikh, A Amara, S Etemad… - Advances in difference …, 2020 - Springer
In this research paper, we introduce a general structure of a fractional boundary value
problem in which a 2-term fractional differential equation has a fractional bi-order setting of …

Ulam stability for nonlinear-Langevin fractional differential equations involving two fractional orders in the ψ-Caputo sense

Z Baitiche, C Derbazi, MM Matar - Applicable Analysis, 2022 - Taylor & Francis
The main aim of this paper is to prove the Ulam–Hyers stability of solutions for a new form of
nonlinear fractional Langevin differential equations involving two fractional orders in the ψ …

[PDF][PDF] Langevin differential equation in frame of ordinary and Hadamard fractional derivatives under three point boundary conditions

Y Adjabi, ME Samei, MM Matar, J Alzabut - Aims Math, 2021 - aimspress.com
Langevin differential equation in frame of ordinary and Hadamard fractional derivatives under
three point boundary conditions Page 1 http://www.aimspress.com/journal/Math AIMS …

On a multi‐point pp‐Laplacian fractional differential equation with generalized fractional derivatives

S Rezapour, MI Abbas, S Etemad… - … Methods in the …, 2023 - Wiley Online Library
In the current paper, we intend to check the existence aspects of solutions for a category of
the multi‐point boundary value problem (BVP) involving ap p‐Laplacian differential operator …