ON THE SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS VIA GERAGHTY TYPE HYBRID CONTRACTIONS

No Thumbnail Available

Date

2021

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Applied Mathematics of Baku State University

Open Access Color

OpenAIRE Downloads

OpenAIRE Views

Research Projects

Organizational Units

Thumbnail Image
Organizational Unit
Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

Journal Issue

Abstract

The aim of this article is twofold. Firstly, to study fixed points of mappings on bmetric spaces satisfying a general contractive condition called Geraghty type hybrid contraction. Secondly, to apply the theoretical results to the problem of existence and uniqueness of solutions of boundary value problems with integral boundary conditions associated with a certain type of nonlinear fractional differential equations. The conditions for the existence of fixed points for Geraghty type hybrid contractions are determined and several consequences of the main results are deduced. Some examples on boundary value problems for nonlinear fractional differential equations of order 3 < α ≤ 4 are provided, where the existence and uniqueness of solutions are shown by using Geraghty type contractions. © 2021, Institute of Applied Mathematics of Baku State University. All rights reserved.

Description

Keywords

b-Metric Space, Fixed Point, Fractional Differential Equations

Turkish CoHE Thesis Center URL

Fields of Science

Citation

127

WoS Q

Q1

Scopus Q

Q1

Source

Applied and Computational Mathematics

Volume

20

Issue

2

Start Page

313

End Page

333

URI

https://hdl.handle.net/20.500.14411/9550

Collections

Scopus