Existence and uniqueness of solutions for fractional neutral volterra-fredholm integro differential equations

A Hamoud - Advances in the Theory of Nonlinear Analysis and its …, 2020 - dergipark.org.tr
The topic fractional calculus can be measured as an old as well as a new subject. In the
fractional calculus the various integral inequalities plays an important role in the study of …

Existence solutions for implicit fractional relaxation differential equations with impulsive delay boundary conditions

V Wattanakejorn, P Karthikeyann, S Poornima… - Axioms, 2022 - mdpi.com
The aim of this paper is to study the existence and uniqueness of solutions for nonlinear
fractional relaxation impulsive implicit delay differential equations with boundary conditions …

Multivalued Problems, Orthogonal Mappings, and Fractional Integro‐Differential Equation

RK Sharma, S Chandok - Journal of Mathematics, 2020 - Wiley Online Library
In this manuscript, we propose some sufficient conditions for the existence of solution for the
multivalued orthogonal ℱ‐contraction mappings in the framework of orthogonal metric …

Hilfer fractional differential inclusions with Erdélyi–Kober fractional integral boundary condition

A Lachouri, MS Abdo, A Ardjouni, B Abdalla… - Advances in Difference …, 2021 - Springer
In this article, we debate the existence of solutions for a nonlinear Hilfer fractional differential
inclusion with nonlocal Erdélyi–Kober fractional integral boundary conditions (FIBC). Both …

[PDF][PDF] Existence results for integral boundary value problems of fractional differential equations with two nonlinear terms in banach spaces

A Lachouri, A Ardjouni, A Djoudi - Bull. Int. Math. Virtual Inst, 2021 - imvibl.org
In this paper, we study the existence of solutions for a boundary value problem of fractional
differential equations with integral boundary conditions by using measure of …

Existence and uniqueness of solutions for fractional relaxation integro-differential equations with boundary conditions

A Lachouri, A Ardjouni, A Djoudi - Facta Universitatis, Series …, 2022 - casopisi.junis.ni.ac.rs
The aim of this paper is to study the existence and uniqueness of solutions for nonlinear
fractional relaxation integro-differential equations with boundary conditions. Some results …

[PDF][PDF] On a class of differential inclusions in the frame of generalized Hilfer fractional derivative

A Lachouri, MS Abdo, A Ardjouni, B Abdalla… - AIMS Math, 2022 - aimspress.com
In the present paper, we extend and develop a qualitative analysis for a class of nonlinear
fractional inclusion problems subjected to nonlocal integral boundary conditions (nonlocal …

Complexity reduction approach for solving second kind of Fredholm integral equations

MS Muthuvalu, E Aruchunan, MKM Ali, JVL Chew… - Symmetry, 2022 - mdpi.com
Initially, the concept of the complexity reduction approach was applied to solve symmetry
algebraic systems that were generated from the discretization of the partial differential …

[PDF][PDF] New results on fractional relaxation integro differential equations with impulsive conditions

K Karthikeyan, GS Murugapandian, P Karthikeyan… - Filomat, 2023 - doiserbia.nb.rs
The aim of this paper is to study the existence and uniqueness of solutions for nonlinear
fractional relaxation impulsive integro-differential equations with boundary conditions. Some …

[PDF][PDF] Existence and uniqueness results for fractional Volterra-Fredholm integro differential equations with integral boundary conditions

AA Hamoud, NM Mohammed - Dynamics of Continuous, Discrete …, 2023 - researchgate.net
The purpose of this paper is to prove some new existence and uniqueness results for the
Caputo fractional integro-differential equations satisfying integral boundary conditions using …