Existence results for boundary value problems with non-linear fractional differential equations

Abstract

In this article, the authors establish sufficient conditions for the existence of solutions to a class of boundary value problem for fractional differential equations involving the Caputo fractional derivative of order α ∈ (1, 2] and non-linear integral conditions.

Keywords:

• boundary value problem
• Caputo fractional derivative
• fractional integral
• existence
• uniqueness
• fixed point
• integral conditions

AMS subject classification: :

• 26A33