Document Type : Research Paper
Author
MISCOM, National School of Applied Sciences, Cadi Ayyad University, Safi, Morocco.
Abstract
In this paper, we are interested in studying an integro-differential equation with two-point integral boundary conditions using the Caputo fractional derivative of order $2< \varrho \leq 3$. The considered problem is transformed into an equivalent integral equation. To study existence and uniqueness results, our approaches used is based on two well-known fixed point theorems, Banach contraction and Krasnoselskii's theorems. To illustrate our obtained outcomes, an example is given at the end of this paper.
Keywords
- Caputo fractional derivative
- Existence result
- Integral boundary conditions
- Integro-differential equation
Main Subjects
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