ON CRITERIA OF EXISTENCE FOR NONLINEAR KATUGAMPOLA FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATOR.

Autor: ARIOUA, YACINE, LI MA
Předmět:
Zdroj: Fractional Differential Calculus; Jun2021, Vol. 11 Issue 1, p55-68, 16p
Abstrakt: This paper is devoted to establishing vital criteria of existence and uniqueness for a class of nonlinear Katugampola fractional differential equations (KFDEs) with p-Laplacian operator subjecting to mixed boundary conditions. The reasoning is inspired by diverse classical fixed point theory, such as the Guo-Krasnosel'skii type fixed point principle and Banach contraction theorem. Additionally, several expressive examples are afforded to show the effectiveness of our theoretical results. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index