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

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

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’ski<inline-formula><math display="inline"><...

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Bibliographic Details
Main Authors: Ahmed Alsaedi, Amjad F. Albideewi, Sotiris K. Ntouyas, Bashir Ahmad
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Mathematics
Subjects:
Caputo derivative
Riemann–Liouville integral
multipoint and sub-strip boundary conditions
existence
fixed point theorem
Online Access:https://www.mdpi.com/2227-7390/8/11/1899
Description
Summary: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’ski<inline-formula><math display="inline"><semantics><mrow><mover accent="true"><mi mathvariant="normal">i</mi><mo stretchy="false">⏝</mo></mover></mrow></semantics></math></inline-formula>’s fixed point theorems. Examples are included for the illustration of the obtained results.
ISSN:2227-7390

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