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Multiple Positive Solutions for a System of Fractional Order BVP with p -Laplacian Operators and Parameters.

Authors :
Ahmadini, Abdullah Ali H.
Khuddush, Mahammad
Nageswara Rao, Sabbavarapu
Source :
Axioms (2075-1680); Oct2023, Vol. 12 Issue 10, p974, 17p
Publication Year :
2023

Abstract

In this paper, we investigate the existence of positive solutions to a system of fractional differential equations that include the (r 1 , r 2 , r 3) -Laplacian operator, three-point boundary conditions, and various fractional derivatives. We use a combination of techniques, including cone expansion and compression of the functional type, and the Leggett–Williams fixed point theorem, to prove the existence of positive solutions. Finally, we provide two examples to illustrate our main results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20751680
Volume :
12
Issue :
10
Database :
Complementary Index
Journal :
Axioms (2075-1680)
Publication Type :
Academic Journal
Accession number :
173268710
Full Text :
https://doi.org/10.3390/axioms12100974