Paper's Title:

Solving Strongly Nonlinear Fractional Fredholm Integral-Differential Equations in Caputo's Sense Using the SBA Method

Author(s):

Germain Kabore¹, Bakari Abbo², Ousseni So³ and Blaise Some¹

¹Laboratoire d'Analyse Numerique, Informatique et de Biomathmathiques (L.N.I.BIO),
Universite Joseph Ki-Zerbo,
Burkina Faso.
E-mail: germainkabore982@gmail.com, blaisesomeouaga1@gmail.com

²University of N'Damena, Tchad.
E-mail: bakariabbo@yahoo.fr

³Laboratoire d'Analyse Numerique, Informatique et de Biomathemathiques (L.N.I.BIO),
Ecole Normale Superieure,
Burkina Faso.
E-mail: sousseni@yahoo.fr

Abstract:

The work addressed in this article consists in constructing the exact solutions, where they exist, of fractional Fredholm-type integro-differential equations in the sense of Caputo. Our results are obtained using the SBA method. The simplification of the approach, the analysis of its convergence, and the generalization of this method to these types of highly nonlinear equations constitute our scientific contribution.

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