Existence Results for Impulsive Fractional Integrodifferential Equations Involving Integral Boundary Conditions-Reference-Cited by-同舟云学术

Existence Results for Impulsive Fractional Integrodifferential Equations Involving Integral Boundary Conditions

Published:2022-09-05 Issue: Volume:2022 Page:1-12
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Karthikeyan Kulandhaivel¹,Reunsumrit Jiraporn²,Karthikeyan Panjaiyan³,Poornima Sadhasivam³,Tamizharasan Dhatchinamoorthy⁴^ORCID,Sitthiwirattham Thanin⁵^ORCID

Affiliation:

1. Department of Mathematics & Centre for Research and Development, KPR Institute of Engineering and Technology, Coimbatore 641 407, Tamil Nadu, India

2. Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand

3. Department of Mathematics, Sri Vasavi College, Erode, Tamil Nadu, India

4. Department of Mathematics, K.S.Rangasamy College of Technology, Tiruchengode, Namakkal, Tamilnadu, India

5. Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand

Abstract

This research paper is devoted to investigating the existence results for impulsive fractional integrodifferential equations in the form of Atangana - Baleanu - Caputo (ABC) fractional derivative, by using Gronwall–Bellman inequality and Krasnoselskii’s fixed point theorem to study the existence and uniqueness of the problem with integral boundary conditions. At the end, the examples are illustrated to verify results.

Funder

King Mongkut's University of Technology North Bangkok

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2022/6599849.pdf

Reference34 articles.

1. New General Variants of Chebyshev Type Inequalities via Generalized Fractional Integral Operators

2. An existence results for a fractional differential equation with Φ-fractional derivative

3. Analysis of Fractional Differential Equations