--Caputo fractional differential equations with multi-point boundary conditions by Topological Degree Theory

Z Baitiche, C Derbazi, M Benchohra - Results in Nonlinear Analysis, 2020 - dergipark.org.tr
In this article, we discuss the existence and uniqueness of solutions to some nonlinear
fractional differential equations involving the ψ--Caputo fractional derivative with multi-point …

Monotone iterative method for ψ-Caputo fractional differential equation with nonlinear boundary conditions

Z Baitiche, C Derbazi, J Alzabut, ME Samei… - Fractal and …, 2021 - mdpi.com
The main contribution of this paper is to prove the existence of extremal solutions for a novel
class of ψ-Caputo fractional differential equation with nonlinear boundary conditions. For …

On tempered fractional calculus with respect to functions and the associated fractional differential equations

AD Mali, KD Kucche, A Fernandez… - … Methods in the …, 2022 - Wiley Online Library
The prime aim of the present paper is to continue developing the theory of tempered
fractional integrals and derivatives of a function with respect to another function. This theory …

Initial Value Problem For Nonlinear Fractional Differential Equations With ψ-Caputo Derivative Via Monotone Iterative Technique

C Derbazi, Z Baitiche, M Benchohra, A Cabada - Axioms, 2020 - mdpi.com
In this article, we discuss the existence and uniqueness of extremal solutions for nonlinear
initial value problems of fractional differential equations involving the ψ-Caputo derivative …

Monotone Iterative and Upper–Lower Solution Techniques for Solving the Nonlinear ψ− Caputo Fractional Boundary Value Problem

A Boutiara, M Benbachir, J Alzabut, ME Samei - Fractal and Fractional, 2021 - mdpi.com
The objective of this paper is to study the existence of extremal solutions for nonlinear
boundary value problems of fractional differential equations involving the ψ− Caputo …

Delayed analogue of three‐parameter Mittag‐Leffler functions and their applications to Caputo‐type fractional time delay differential equations

IT Huseynov, NI Mahmudov - Mathematical Methods in the …, 2024 - Wiley Online Library
In this paper, we consider a Cauchy problem for a Caputo‐type time delay linear system of
fractional differential equations with permutable matrices. First, we provide a new …

Existence and Ulam–Hyers–Mittag-Leffler stability results of -Hilfer nonlocal Cauchy problem

MA Almalahi, MS Abdo, SK Panchal - Rendiconti del Circolo Matematico di …, 2021 - Springer
The main aim of this article is to investigate some new sufficient conditions of the existence
and uniqueness results of ψ ψ-Hilfer fractional functional differential equations with nonlocal …

Coupled Systems of -Caputo Differential Equations with Initial Conditions in Banach Spaces

C Derbazi, Z Baitiche - Mediterranean Journal of Mathematics, 2020 - Springer
In this paper, we study the existence of solutions for coupled systems of ψ ψ-Caputo
fractional differential equations with initial conditions in Banach Spaces. The method used in …

Stability analysis for fractional order implicit ψ‐Hilfer differential equations

Asma, JF Gómez‐Aguilar… - … Methods in the …, 2022 - Wiley Online Library
The present research endeavor contains formulation of a new ψ‐Hilfer differential equation
equipped with integral‐type subsidiary conditions. Utilizing Picard operator method, Banach …

Cauchy problem with --Caputo fractional derivative in Banach spaces

C Derbazi, Z Baitiche, M Benchohra - Advances in the Theory of …, 2021 - dergipark.org.tr
This paper is devoted to the existence of solutions for certain classes of nonlinear differential
equations involving the ψ--Caputo fractional derivative in Banach spaces. Our approach is …