Some novel mathematical results on the existence and uniqueness of generalized Caputo-type initial value problems with delay-Reference-Cited by-同舟云学术

Some novel mathematical results on the existence and uniqueness of generalized Caputo-type initial value problems with delay

Published:2022 Issue:6 Volume:7 Page:10483-10494
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Kumar Pushpendra¹,Govindaraj V.¹,Khan Zareen A.²

Affiliation:

1. Department of Mathematics, National Institute of Technology Puducherry, Karaikal-609609, India

2. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

Abstract

<abstract><p>In this article, we propose some novel results on the existence and uniqueness of generalized Caputo-type initial value problems with delay by using fixed point theory. The characteristics of space of continuous and measurable functions are the main basis of our results. The proposed results are very useful to prove the existence of a unique solution for the various types of fractional-order systems defined under the generalized Caputo fractional derivative consisting of delay terms.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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