Local Existence Theorem of Fractional Differential Equations in Lp Space

Abstract

We proved the existence of P-integrable solution in -space, where for the fractional differential equation which has the form: with boundary condition where is the Caputo fractional derivative, and c are positive constants with . The contraction mapping principle has been used to establish our main result.

Keywords

• fractional differential equation
• caputo fractional derivative
• lp space