Boundary value problems of Hilfer-type fractional integro-differential equations and inclusions with nonlocal integro-multipoint boundary conditions-Reference-Cited by-同舟云学术

Boundary value problems of Hilfer-type fractional integro-differential equations and inclusions with nonlocal integro-multipoint boundary conditions

Published:2020-01-01 Issue:1 Volume:18 Page:1879-1894
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Nuchpong Cholticha¹,Ntouyas Sotiris K.²³,Tariboon Jessada⁴

Affiliation:

1. Department of Social and Applied Science, College of Industrial Technology, King Mongkut’s University of Technology North Bangkok , Bangkok , 10800 , Thailand

2. Department of Mathematics, University of Ioannina , 451 10 Ioannina , Greece

3. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University , P.O. Box 80203 , Jeddah 21589 , Saudi Arabia

4. Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok , Bangkok 10800 , Thailand

Abstract

Abstract In this paper, we study boundary value problems of fractional integro-differential equations and inclusions involving Hilfer fractional derivative. Existence and uniqueness results are obtained by using the classical fixed point theorems of Banach, Krasnosel’skiĭ, and Leray-Schauder in the single-valued case, while Martelli’s fixed point theorem, nonlinear alternative for multi-valued maps, and Covitz-Nadler fixed point theorem are used in the inclusion case. Examples illustrating the obtained results are also presented.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2020-0122/pdf

Reference27 articles.

1. B. Ahmad , A. Alsaedi , S. K. Ntouyas , and J. Tariboon , Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities, Springer, Cham, Switzerland, 2017.

2. K. Diethelm , The Analysis of Fractional Differential Equations, Lecture Notes in Mathematics, Springer, New York, 2010.

3. A. A. Kilbas , H. M. Srivastava , and J. J. Trujillo , Theory and Applications of the Fractional Differential Equations , North-Holland Mathematics Studies, vol. 204, Elsevier, Amsterdam, 2006.

4. V. Lakshmikantham , S. Leela , and J. V. Devi , Theory of Fractional Dynamic Systems, Cambridge Scientific Publishers, Cambridge, 2009.

5. K. S. Miller and B. Ross , An Introduction to the Fractional Calculus and Differential Equations, John Wiley, New York, 1993.

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