Fractional singular differential systems of Lane-Emden type : existence and uniqueness of solutions

Fractional singular differential systems of Lane-Emden type : existence and uniqueness of solutions

A coupled system of singular fractional differential equations involving Riemann–Liouville integral and Caputo derivative is considered in this paper. The question of existence and uniqueness of solutions is studied using Banach contraction principle. Furthermore, the question of existence of at lea...

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Main Authors: Gouari, Yazid, Dahmani, Zoubir, Farooq, Shan E., Ahmad, Farooq
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2021
Subjects:
Science::Mathematics
Caputo Derivative
Lane Emden System
Online Access:https://hdl.handle.net/10356/145901
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Institution: Nanyang Technological University
Language: English
id sg-ntu-dr.10356-145901
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spelling sg-ntu-dr.10356-1459012023-03-04T17:12:30Z Fractional singular differential systems of Lane-Emden type : existence and uniqueness of solutions Gouari, Yazid Dahmani, Zoubir Farooq, Shan E. Ahmad, Farooq School of Mechanical and Aerospace Engineering Science::Mathematics Caputo Derivative Lane Emden System A coupled system of singular fractional differential equations involving Riemann–Liouville integral and Caputo derivative is considered in this paper. The question of existence and uniqueness of solutions is studied using Banach contraction principle. Furthermore, the question of existence of at least one solution is discussed. At the end, an illustrative example is given in details. Published version 2021-01-14T01:53:51Z 2021-01-14T01:53:51Z 2020 Journal Article Gouari, Y., Dahmani, Z., Farooq, S. E., & Ahmad, F. (2020). Fractional singular differential systems of Lane-Emden type : existence and uniqueness of solutions. Axioms, 9(3), 95-. doi:10.3390/axioms9030095 2075-1680 https://hdl.handle.net/10356/145901 10.3390/axioms9030095 3 9 en Axioms © 2020 The Authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Mathematics
Caputo Derivative
Lane Emden System
spellingShingle Science::Mathematics
Caputo Derivative
Lane Emden System
Gouari, Yazid
Dahmani, Zoubir
Farooq, Shan E.
Ahmad, Farooq
Fractional singular differential systems of Lane-Emden type : existence and uniqueness of solutions
description A coupled system of singular fractional differential equations involving Riemann–Liouville integral and Caputo derivative is considered in this paper. The question of existence and uniqueness of solutions is studied using Banach contraction principle. Furthermore, the question of existence of at least one solution is discussed. At the end, an illustrative example is given in details.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Gouari, Yazid
Dahmani, Zoubir
Farooq, Shan E.
Ahmad, Farooq
format Article
author Gouari, Yazid
Dahmani, Zoubir
Farooq, Shan E.
Ahmad, Farooq
author_sort Gouari, Yazid
title Fractional singular differential systems of Lane-Emden type : existence and uniqueness of solutions
title_short Fractional singular differential systems of Lane-Emden type : existence and uniqueness of solutions
title_full Fractional singular differential systems of Lane-Emden type : existence and uniqueness of solutions
title_fullStr Fractional singular differential systems of Lane-Emden type : existence and uniqueness of solutions
title_full_unstemmed Fractional singular differential systems of Lane-Emden type : existence and uniqueness of solutions
title_sort fractional singular differential systems of lane-emden type : existence and uniqueness of solutions
publishDate 2021
url https://hdl.handle.net/10356/145901
_version_ 1759858154756112384

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