Existence and Asymptotic Behavior of Positive Solutions for a Coupled System of Semilinear Fractional Differential Equations

Hassan Yahya Alfifi; Imen Ben Saad; Sameh Turki; Zagharide Zine El Abidine

doi:10.1007/s00025-016-0528-9

Existence and Asymptotic Behavior of Positive Solutions for a Coupled System of Semilinear Fractional Differential Equations

Hassan Yahya Alfifi
, Imen Ben Saad
, Sameh Turki
, Zagharide Zine El Abidine^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this paper, we study a coupled system of semilinear Riemann–Liouville type fractional differential equations. Applying the Schäuder fixed point theorem, we prove the existence of positive solutions of the fractional differential system. Furthermore, the asymptotic behavior of the solutions is given by using Karamata regular variation theory.

Original language	English
Pages (from-to)	705-730
Number of pages	26
Journal	Results in Mathematics
Volume	71
Issue number	3-4
DOIs	https://doi.org/10.1007/s00025-016-0528-9
State	Published - 1 Jun 2017

Keywords

asymptotic behavior
Green function
Karamata function
Riemann–Liouville fractional derivative
Schäuder’s fixed point theorem

Access to Document

10.1007/s00025-016-0528-9

Cite this

@article{a34e77b4680f48889a25e7e95eebb564,

title = "Existence and Asymptotic Behavior of Positive Solutions for a Coupled System of Semilinear Fractional Differential Equations",

abstract = "In this paper, we study a coupled system of semilinear Riemann–Liouville type fractional differential equations. Applying the Sch{\"a}uder fixed point theorem, we prove the existence of positive solutions of the fractional differential system. Furthermore, the asymptotic behavior of the solutions is given by using Karamata regular variation theory.",

keywords = "asymptotic behavior, Green function, Karamata function, Riemann–Liouville fractional derivative, Sch{\"a}uder{\textquoteright}s fixed point theorem",

author = "Alfifi, \{Hassan Yahya\} and \{Ben Saad\}, Imen and Sameh Turki and \{Zine El Abidine\}, Zagharide",

note = "Publisher Copyright: {\textcopyright} 2016, Springer International Publishing.",

year = "2017",

month = jun,

day = "1",

doi = "10.1007/s00025-016-0528-9",

language = "English",

volume = "71",

pages = "705--730",

journal = "Results in Mathematics",

issn = "1422-6383",

number = "3-4",

}

TY - JOUR

T1 - Existence and Asymptotic Behavior of Positive Solutions for a Coupled System of Semilinear Fractional Differential Equations

AU - Alfifi, Hassan Yahya

AU - Ben Saad, Imen

AU - Turki, Sameh

AU - Zine El Abidine, Zagharide

PY - 2017/6/1

Y1 - 2017/6/1

N2 - In this paper, we study a coupled system of semilinear Riemann–Liouville type fractional differential equations. Applying the Schäuder fixed point theorem, we prove the existence of positive solutions of the fractional differential system. Furthermore, the asymptotic behavior of the solutions is given by using Karamata regular variation theory.

AB - In this paper, we study a coupled system of semilinear Riemann–Liouville type fractional differential equations. Applying the Schäuder fixed point theorem, we prove the existence of positive solutions of the fractional differential system. Furthermore, the asymptotic behavior of the solutions is given by using Karamata regular variation theory.

KW - asymptotic behavior

KW - Green function

KW - Karamata function

KW - Riemann–Liouville fractional derivative

KW - Schäuder’s fixed point theorem

UR - https://www.scopus.com/pages/publications/84961636985

U2 - 10.1007/s00025-016-0528-9

DO - 10.1007/s00025-016-0528-9

M3 - Article

AN - SCOPUS:84961636985

SN - 1422-6383

VL - 71

SP - 705

EP - 730

JO - Results in Mathematics

JF - Results in Mathematics

IS - 3-4

ER -

Existence and Asymptotic Behavior of Positive Solutions for a Coupled System of Semilinear Fractional Differential Equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this