On Caputo–Riemann–Liouville Type Fractional Integro-Differential Equations with Multi-Point Sub-Strip Boundary Conditions

Mathematics

Bashir Ahmad¹  Ahmed Alsaedi¹  SotirisK. Ntouyas¹  AmjadF. Albideewi¹ 

[1] Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;

关键词: Caputo derivative;    Riemann–Liouville integral;    multipoint and sub-strip boundary conditions;    existence;    fixed point theorem;   

DOI  :  10.3390/math8111899

来源: DOAJ

【 摘 要 】

In this paper, we derive existence and uniqueness results for a nonlinear Caputo–Riemann–Liouville type fractional integro-differential boundary value problem with multi-point sub-strip boundary conditions, via Banach and Krasnosel’skiĭ’s fixed point theorems. Examples are included for the illustration of the obtained results.

【 授权许可】

Unknown