*BOUNDARY value problems, *NONLINEAR analysis, *FRACTIONAL differential equations, *FIXED point theory, *MATHEMATICAL formulas
Abstract
In this paper, we consider integral boundary value problems of nonlinear fractional differential equations. Existence results of positive solutions for the problem are obtained based on the Guo-Krasnoselskii theorem and the Five functional fixed point theorem. Simple examples follow the main results in successive sections. [ABSTRACT FROM AUTHOR]
BEDDANI, HAMID, BEDDANI, MOUSTAFA, and DAHMANI, ZOUBIR
Subjects
*LAPLACIAN operator, *FRACTIONAL differential equations, *DIFFERENTIAL equations, *MATHEMATICS, *FIXED point theory
Abstract
In this paper, we study the existence and uniqueness of solutions for a tripled system of fractional differential equations with nonlocal integro multi point boundary conditions by using the p-Laplacian operator and the γ-Caputo derivatives. The presented results are obtained by the two fixed point theorems of Banach and Krasnoselskii. An illustrative example is presented at the end to show the applicability of the obtained results. To the best of our knowledge, this is the first time where such problem is considered. [ABSTRACT FROM AUTHOR]