Existence and Uniqueness of Solution of Hadamard-Type Temporal Fractional Equations and Numerical Application Using the SBA Plus Method
Germain KABORE *
Laboratoire d'Analyse Numerique, Informatique et de Biomathematiques (L.A.N.I.BIO), Universite Joseph KI-ZERBO, Burkina Faso.
Oumar MADAI
University of N'Djamena, Tchad.
Bakari Abbo
University of N'Djamena, Tchad.
Ousseni SO
Laboratoire d'Analyse Numerique, Informatique et de Biomathematiques (L.A.N.I.BIO), Ecole Normale Superieure, Burkina Faso.
*Author to whom correspondence should be addressed.
Abstract
The work addressed in this article consists in guaranteeing the existence and uniqueness of solutions for Cauchy problems involving fractional Hadamard differential equations. Our results are based on the classical Weissinger fixed-point theorem. Finally, we present three examples of solutions using the SBA plus method.
Keywords: Some Blaise Abbo (SBA) plus method, hadamard fractional integral, hadamard fractional derivative, hadamard fractional equation