


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 KiZerbo,
Burkina Faso.
Email: oseny@yahoo.fr,
nebwass@yahoo.fr
pareyoussouf@yahoo.fr,
some@univouaga.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.
Paper's Title:
Solving Strongly Nonlinear Fractional Fredholm IntegralDifferential Equations in Caputo's Sense Using the SBA Method
Author(s):
Germain Kabore^{1}, Bakari Abbo^{2}, Ousseni So^{3} and Blaise Some^{1}
^{1}Laboratoire
d'Analyse Numerique, Informatique et de Biomathmathiques (L.N.I.BIO),
Universite Joseph KiZerbo,
Burkina Faso.
Email: germainkabore982@gmail.com,
blaisesomeouaga1@gmail.com
^{2}University
of N'Damena, Tchad.
Email: bakariabbo@yahoo.fr
^{3}Laboratoire
d'Analyse Numerique, Informatique et de Biomathemathiques (L.N.I.BIO),
Ecole Normale Superieure,
Burkina Faso.
Email: sousseni@yahoo.fr
Abstract:
The work addressed in this article consists in constructing the exact solutions, where they exist, of fractional Fredholmtype integrodifferential 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.
Paper's Title:
On Pseudo Almost Periodic Solutions to Some Neutral FunctionalDifferential Equations
Author(s):
Toka Diagana and Eduardo Hernández
Department of Mathematics, Howard University
2441 6th Street NW,
Washington DC 20059,
USA.
tdiagana@howard.edu
Departamento de Matemática, I.C.M.C. Universidade de São Paulo,
Caixa Postal
668, 13560970, São Carlos SP,
Brazil.
lalohm@icmc.sc.usp.br
Abstract:
This paper discusses the existence and uniqueness of pseudo almost periodic solutions to a class of partial neutral functionaldifferential equations. Under some suitable assumptions, existence and uniqueness results are obtained. An example is given to illustrate abstract results.
Paper's Title:
Strongly Nonlinear Variational Parabolic Problems in Weighted Sobolev Spaces
Author(s):
L. Aharouch, E. Azroul and M. Rhoudaf
Dép. Math. Faculté des Sciences DharMahraz
B.P 1796 Atlas Fés,
Maroc.
rhoudaf_mohamed@yahoo.fr
Abstract:
In this paper , we study the existence of a weak solutions for the initialboundary value problems of the strongly nonlinear degenerated parabolic equation,
∂u  +A(u)+g(x,t,u,∇ u)=f 
∂t 
where A is a Leraylions operator acted from L^{p}(0,T,W_{0}^{1,p}(Ώ,w)) into its dual. g(x,t,u,∇ u) is a nonlinear term with critical growth condition with respect to ∇ u and no growth with respect to u. The source term f is assumed to belong to L^{p'}(0,T,W^{1,p'}(Ώ,w^{*})).
Paper's Title:
Ulam Stability of Functional Equations
Author(s):
Stefan Czerwik and Krzysztof Król
Institute of Mathematics
Silesian University of Technology
Kaszubska 23,
44100 Gliwice,
Poland
Stefan.Czerwik@polsl.pl
Krzysztof.Krol@polsl.pl
Abstract:
In this survey paper we present some of the main results on UlamHyersRassias stability for important functional equations.
Paper's Title:
Applications of Relations and Relators in the Extensions of Stability Theorems for Homogeneous and Additive Functions
Author(s):
Árpád Száz
Institute of Mathematics, University of Debrecen,
H4010 Debrecen,
Pf. 12,
Hungary
szaz@math.klte.hu
Abstract:
By working out an appropriate technique of relations and relators and extending the ideas of the direct methods of Z. Gajda and R. Ger, we prove some generalizations of the stability theorems of D. H. Hyers, T. Aoki, Th. M. Rassias and P. Găvruţă in terms of the existence and unicity of 2homogeneous and additive approximate selections of generalized subadditive relations of semigroups to vector relator spaces. Thus, we obtain generalizations not only of the selection theorems of Z. Gajda and R. Ger, but also those of the present author.
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