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12: Paper Source PDF document

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.



3: Paper Source PDF document

Paper's Title:

A New Adomian Approach to Solving Integral Equations of Fredholm and Volterra Second Kind

Author(s):

Ouedraogo Seny, Nebie Abdoul Wassiha, Youssouf Pare, Blaise Some

Departement de mathematiques,
Universite Joseph Ki-Zerbo,
Burkina Faso.
E-mail: oseny@yahoo.fr, nebwass@yahoo.fr
pareyoussouf@yahoo.fr, some@univ-ouaga.bf

Abstract:

In order to simplify the resolution of Fredholm and Volterra's second type integral equations, we propose a new approach based on the Adomian Decompositional Method (ADM). We test the new approach on several examples with success.


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