Integrable solutions for implicit fractional order differential equations with nonlocal condition

Abstract

We establish in this work the existence and uniqueness results of integrable solutions for nonlocal problem for fractional implicit differential equations. Our results are based on two fixed point theorems.

Subject Classification:

• 26A33
• 34A08

Keywords:

• Implicit fractional-order differential equation
• Nonlocal condition
• Caputo fractional derivative
• Existence fixed point