Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method

Mohamed Jleli; Bessem Samet; Department of Mathematics, College of Science, King Saud University

doi:10.15388/NA.2015.3.4

$Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method$

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Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method

Mohamed Jleli, Bessem Samet and Department of Mathematics, College of Science, King Saud University

Nonlinear analysis (Vilnius, Lithuania), Vol.20(3), pp.367-376

01/07/2015

DOI: https://doi.org/10.15388/NA.2015.3.4

Abstract

Mathematics

Mathematics, Applied

Mathematics, Interdisciplinary Applications

Mechanics

Physical Sciences

Science & Technology

Technology

In this paper, using a mixed monotone operator method, we study the existence and uniqueness of positive solutions to a nonlinear arbitrary order fractional differential equation. An example is provided to illustrate the main result.

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Title: Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method
Creators - without role: Mohamed Jleli - King Saud University
Bessem Samet - King Saud University
Department of Mathematics, College of Science, King Saud University
Publication Details: Nonlinear analysis (Vilnius, Lithuania), Vol.20(3), pp.367-376
Publisher: Vilnius Univ, Inst Mathematics & Informatics
Number of pages: 10
Grant note: RGP-VPP-237 / Deanship of Scientific Research at King Saud University; King Saud University
Identifiers: 9951960308331
Academic Unit: King Saud University
Language: English
Resource Type: Journal article