Find in Library
Search millions of books, articles, and more
Indexed Open Access Databases
Multiple Positive Solutions for a System of Fractional Order BVP with <i>p</i>-Laplacian Operators and Parameters
oleh: Abdullah Ali H. Ahmadini, Mahammad Khuddush, Sabbavarapu Nageswara Rao
Format: | Article |
---|---|
Diterbitkan: | MDPI AG 2023-10-01 |
Deskripsi
In this paper, we investigate the existence of positive solutions to a system of fractional differential equations that include the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><msub><mi>r</mi><mn>1</mn></msub><mo>,</mo><msub><mi>r</mi><mn>2</mn></msub><mo>,</mo><msub><mi>r</mi><mn>3</mn></msub><mo>)</mo></mrow></semantics></math></inline-formula>-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.