Existence of mild solutions to semilinear fractional evolution equation using Krasnoselskii fixed point theorem-Reference-Cited by-同舟云学术

Existence of mild solutions to semilinear fractional evolution equation using Krasnoselskii fixed point theorem

Published:2022 Issue:4 Volume:36 Page:1099-1112
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ngoc Tran¹,Tuan Nguyen²

Affiliation:

1. Department of Mathematics, Faculty of Science, Nong Lam University, Ho Chi Minh City, Vietnam

2. Division of Applied Mathematics, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh City, Vietnam + Faculty of Technology, Van Lang University, Ho Chi Minh City, Vietnam

Abstract

This paper is devoted to study the existence and stability of mild solutions for semilinear fractional evolution equations with a nonlocal final condition. The analysis is based on analytic semigroup theory, Krasnoselskii fixed point theorem, and a special probability density function. An application to a time fractional diffusion equation with nonlocal final condition is also given.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference46 articles.

1. Stefan G. Samko, Anatoly A. Kilbas and Oleg I. Marichev; Fractional integrals and derivatives, Theory and Applications, Gordon and Breach Science, Naukai Tekhnika, Minsk (1987).

2. Kenneth S. Miller and Bertram Ross; An introduction to the fractional calculus and fractional differential equations, JonWiley and Sons, New York (1993).

3. I. Podlubny; Fractional differential equations, Academic Press, London, 1999.

4. R. Hilfer; Fractional calculus in Physics, World Scientific, Singapore (2000).

5. Kai Diethelm; The analysis of fractional differential equationst, Springer, Berlin, 2010.

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