Existence and Uniqueness of Solutions for Fractional-Differential Equation with Boundary Condition Using Nonlinear Multi-Fractional Derivatives-Reference-Cited by-同舟云学术

Existence and Uniqueness of Solutions for Fractional-Differential Equation with Boundary Condition Using Nonlinear Multi-Fractional Derivatives

Published:2024-02-12 Issue: Volume:2024 Page:1-7
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Promsakon Chanon¹²,Ansari Intesham³,Wetsah Mecieu³,Kumar Anoop³,Karthikeyan Kulandhaivel⁴^ORCID,Sitthiwirattham Thanin²⁵^ORCID

Affiliation:

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

2. Research Group for Fractional Calculus Theory and Applications, Science and Technology Research Institute, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand

3. Department of Mathematics and Statistics, School of Basic and Applied Sciences, Central University of Punjab, Bathinda, Punjab-151-001, India

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

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

Abstract

In this article the existence as well as the uniqueness (EU) of the solutions for nonlinear multiorder fractional-differential equations (FDE) with local boundary conditions and fractional derivatives of different orders (Caputo and Riemann–Liouville) are covered. The existence result is derived from Krasnoselskii’s fixed point theorem and its uniqueness is shown using the Banach contraction mapping principle. To illustrate the reliability of the results, two examples are given.

Funder

National Science, Research and Innovation Fund

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/journals/mpe/2024/6844686.pdf

Reference20 articles.

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