Implicit Fractional Differential Equations

M Benchohra, E Karapınar, JE Lazreg… - Advanced Topics in …, 2023 - Springer
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Existence results and Ulam-Hyers stability to impulsive coupled system fractional differential equations

H Belbali, M Benbachir - Turkish Journal of Mathematics, 2021 - journals.tubitak.gov.tr
In this paper, the existence and uniqueness of the solutions to impulsive coupled system of
fractional differential equations with Caputo--Hadamard are investigated. Furthermore …

A new approach to solve weakly singular fractional-order delay integro-differential equations using operational matrices

S Rezabeyk, S Abbasbandy, E Shivanian… - Journal of Mathematical …, 2023 - jmm.guilan.ac.ir
In this paper, we propose a new approach to solve weakly singular fractional delay integro-
differential equations. In the proposed approach, we apply the operational matrices of …

[PDF][PDF] Existence theory and generalized Mittag-Leffler stability for a nonlinear Caputo-Hadamard FIVP via the Lyapunov method

H Belbali, M Benbachir, S Etemad, C Park, S Rezapour - sciences, 2022 - researchgate.net
This paper discusses the existence, uniqueness and stability of solutions for a nonlinear
fractional differential system consisting of a nonlinear Caputo-Hadamard fractional initial …

Hyers–Ulam stability of a system of hyperbolic partial differential equations

D Marian, SA Ciplea, N Lungu - Mathematics, 2022 - mdpi.com
Mathematics | Free Full-Text | Hyers–Ulam Stability of a System of Hyperbolic Partial
Differential Equations Next Article in Journal An Improved Intelligent Auction Mechanism for …

Existence and uniqueness solutions of a BVP for nonlinear Caputo-Hadamard fractional differential equation

A Boutiara, M Benbachir… - Journal of Applied …, 2022 - lhscientificpublishing.com
In this paper, we study the existence and uniqueness of solutions for a nonlinear fractional
boundary value problem with Caputo-Hadamard derivative. New existence and uniqueness …

Advanced Topics in Fractional Differential Equations

M Benchohra, E Karapınar, JE Lazreg, A Salim - Springer
Fractional Calculus is a branch of Mathematics which deals with the derivatives and
integrals of arbitrary (non-integer) order. Though the subject is as old as conventional …

Denumerably many positive solutions for singular iterative system of fractional differential equation with RL fractional integral boundary conditions

K Rajendra Prasad, M Khuddush… - Journal of Mathematical …, 2021 - jmm.guilan.ac.ir
In this paper, we establish the existence of denumerably many positive solutions for singular
iterative system of fractional order boundary value problem involving Riemann--Liouville …

[PDF][PDF] EN MATHEMATIQUES

SBEL ABBES - 2021 - researchgate.net
In this thesis, we present some results on existence, uniqueness, and stability of Ulam-Hyers-
Rassias for a class of initial value problem and boundary value problem for differential …

Fractional Calculus in Applied Sciences and Engineering

C Li, V Kiryakova, F Mainardi, D Spasic, BI Henry… - degruyter.com
The proposed book outlines the basic concepts, models and principles of Economics with
Memory as one of the new modern branches of economic science. Economics with Memory …