EXISTENCE AND UNIQUENESS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTIPOINT AND MULTI-TERM INTEGRAL BOUNDARY CONDITIONS-Reference-Cited by-同舟云学术

EXISTENCE AND UNIQUENESS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTIPOINT AND MULTI-TERM INTEGRAL BOUNDARY CONDITIONS

Published:2022-06-30 Issue:2 Volume:22 Page:319-330
ISSN:2068-3049
Container-title:Journal of Science and Arts
language:en
Short-container-title:J. Sci. Arts

Author:

DJOURDEM HABIB¹

Affiliation:

1. Relizane University, Faculty of Sciences and Technology, Department of Mathematics, 48000 Relizane, Algeria.

Abstract

We investigated the existence and uniqueness of solutions to a nonlinear fractional differential equation containing the Caputo operator supplemented with separated multipoint and multi-term integral boundary conditions. The existence results are obtained by utilizing the Banach contraction principle and the well-known fixed point theorem of Krasnoselskii for a sum of contraction and compact mappings in Banach spaces. Some examples are also presented to illustrate the main results.

Publisher

Valahia University of Targoviste - Journal of Science and Arts

Subject

General Earth and Planetary Sciences,General Environmental Science

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