English

On Implicit $\psi$-Caputo Fractional Integro-differential Equations

General Mathematics 2021-10-12 v1
Authors: Deepak B. Pachpatte , Bhagwat R. Yewale
View on arXiv ↗ PDF ↗

Abstract

In this paper, we investigate the existence and uniqueness of solution of nonlinear ψ\psi-Caputo fractional differential equation with the help of Banach fixed point theorem. Moreover, by using ψ\psi-Gronwall inequality, we studied some qualitative properties of solutions such as estimate and stability.

Keywords

fractional differential equations fixed point in banach spaces

Cite

@article{arxiv.2110.05244,
  title  = {On Implicit $\psi$-Caputo Fractional Integro-differential Equations},
  author = {Deepak B. Pachpatte and Bhagwat R. Yewale},
  journal= {arXiv preprint arXiv:2110.05244},
  year   = {2021}
}

Comments

13 pages

Related papers

View all related →
General Mathematics · Mathematics
On existence of solution to nonlinear $\psi$-Hilfer Cauchy-type problem
Mohammed S Abdo, S K Panchal, Sandeep P Bhairat
2019-10-14
Classical Analysis and ODEs · Mathematics
Properties of Some $\psi$-Hilfer fractional Integrodifferential equations
Deepak B. Pachpatte
2020-04-07
Classical Analysis and ODEs · Mathematics
Four-point boundary value problems for a coupled system of fractional differential equations with $\psi$-Caputo fractional derivatives
Mohamed I. Abbas
2020-07-21
Mathematical Physics · Physics
Existence and Uniqueness of the Solution to a Nonlinear Differential Equation with Caputo Fractional Derivative in the Space of Continuously Differentiable Functions
Sunae Pak, Myongha Kim
2013-09-27
Analysis of PDEs · Mathematics
Existence and stability results for a sequential $\psi$-Hilfer fractional integro-differential equations with nonlocal boundary conditions
Faouzi Haddouchi, Mohammad Esmael Samei, Shahram Rezapour
2023-02-28
Classical Analysis and ODEs · Mathematics
On the existence and uniqueness of solution for fractional differential equations with nonlocal multi-point boundary conditions
Faouzi Haddouchi
2018-11-28
Analysis of PDEs · Mathematics
Langevin equation with nonlocal boundary conditions involving a $\psi$--Caputo fractional operator
Arjumand Seemab, Jehad Alzabut, Mujeeb ur Rehman, Yacine Adjabi +1
2020-06-02
Classical Analysis and ODEs · Mathematics
On the existence and stability for non-instantaneuos impulsive fractional integrodifferential equation
J. Vanterler da C. Sousa, D. S. Oliveira, E. Capelas de Oliveira
2019-02-20
Dynamical Systems · Mathematics
Properties of Certain Partial dynamic Integrodifferential equations
Deepak B. Pachpatte
2016-05-03
Analysis of PDEs · Mathematics
Nonlinear sequential fractional boundary value problems involving generalized $\psi$-Caputo fractional derivatives
Nguyen Minh Dien
2021-10-11
Classical Analysis and ODEs · Mathematics
Existence, uniqueness, estimation and continuous dependence of the solutions of a nonlinear integral and an integrodifferential equations of fractional order
J. Vanterler da C. Sousa, E. Capelas de Oliveira
2018-06-06
Classical Analysis and ODEs · Mathematics
Existence Results for a Multipoint Fractional Boundary Value Problem in the Fractional Derivative Banach Space
Djalal Boucenna, Amar Chidouh, Delfim F. M. Torres
2022-06-17
Functional Analysis · Mathematics
Some qualitative properties of solutions for nonlinear fractional differential equation involving two $\Phi $--Caputo fractional derivatives
Choukri Derbazi, Qasem M. Al-Mdallal, Fahd Jarad, Zidane Baitiche
2021-09-01
Analysis of PDEs · Mathematics
Analysis of fractional integro-differential equations of thermistor type
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
2018-11-12
Dynamical Systems · Mathematics
Some Results on the Solutions of Caputo Fractional Linear Time-Invariant Systems of any order with Internal Point Delays
Manuel De la Sen
2010-09-23
General Mathematics · Mathematics
Theory of Nonlinear Caputo-Katugampola Fractional Differential Equations
Saleh S. Redhwan, Sadikali L. Shaikh, Mohammed S. Abdo
2019-11-21
Classical Analysis and ODEs · Mathematics
Existence results for a class of Caputo type fractional differential equations with Riemann-Liouville fractional integrals and Caputo fractional derivatives in boundary conditions
Faouzi Haddouchi
2018-05-17
Analysis of PDEs · Mathematics
Analysis of Nonlinear Fractional Differential Equations Involving Atangana-Baleanu-Caputo Derivative
Kishor D. Kucche, Sagar T. Sutar
2021-02-03
Classical Analysis and ODEs · Mathematics
Existence and Uniqueness of Solution to a Functional Integro-differential Fractional Equation
Moulay Rchid Sidi Ammi, El Hassan El Kinani, Delfim F. M. Torres
2012-06-21
Classical Analysis and ODEs · Mathematics
Nontrivial solutions of systems of nonlocal Caputo fractional BVPs
Gennaro Infante, Samira Rihani
2021-02-09
Functional Analysis · Mathematics
Solvability of Infinite Systems of Nonlinear Caputo Fractional Differential equations in generalized Hahn Sequence Space
Khurshida Parvin, Bipan Hazarika, Awad A. Bakery
2025-09-10
General Mathematics · Mathematics
Relation-theoretic metrical fixed point results via w-distance with an application in nonlinear fractional differential equations
Tanusri Senapati, Lakshmi Kanta Dey
2017-02-16
Dynamical Systems · Mathematics
Implicit Fractional Differential Equations in Banach Spaces via Picard and Weakly Picard Operator Theory
Sagar T. Sutar, Kishor D. Kucche
2020-07-20
Analysis of PDEs · Mathematics
Fractional Cauchy problems associated with the bi-ordinal Hilfer fractional $q$-derivative
Erkinjon Karimov, Michael Ruzhansky, Serikbol Shaimardan
2022-12-15
Classical Analysis and ODEs · Mathematics
On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the $\psi$-Hilfer operator
J. Vanterler da C. Sousa, E. Capelas de Oliveira
2017-11-21
R2 v1 2026-06-24T06:47:31.692Z