A study of fractional boundary value problem via the Caputo{Hadamard type derivatives

Abstract

In this memoir, we study the existence of solutions for fractional differential equations involving fractional Caputo-Hadamard derivative of order 2 < α ≤ 3. Our results rely on a standard fixed point theorems. An example is provided to illustrate the theory

Dans ce m ́emoire, nous ́etudions l’existence de solutions pour des ́equations diff ́erentielles fractionnaires impliquant une d ́eriv ́ee fractionnaire de Caputo-Hadamard d’ordre 2 < α ≤ 3. Nos r ́esultats reposent sur un th ́eor`eme de virgule fixe standard. Un exemple est fourni pour illustrer la th ́eorie