Paper's Title:

Fractional exp(-φ(ξ))- Expansion Method and its Application to Space--Time Nonlinear Fractional Equations

Author(s):

A. A. Moussa and L. A. Alhakim

Department of Management Information System and Production Management,
College of Business and Economics, Qassim University,
P.O. BOX 6666, Buraidah: 51452,
Saudi Arabia.
E-mail: Alaamath81@gmail.com
URL: https://scholar.google.com/citations?user=ccztZdsAAAAJ&hl=ar

Department of Management Information System and Production Management,
College of Business and Economics, Qassim University,
P.O. BOX 6666, Buraidah: 51452,
Saudi Arabia.
E-mail: Lama2736@gmail.com
URL: https://scholar.google.com/citations?user=OSiSh1AAAAAJ&hl=ar

Abstract:

In this paper, we mainly suggest a new method that depends on the fractional derivative proposed by Katugampola for solving nonlinear fractional partial differential equations. Using this method, we obtained numerous useful and surprising solutions for the space--time fractional nonlinear Whitham--Broer--Kaup equations and space--time fractional generalized nonlinear Hirota--Satsuma coupled KdV equations. The solutions obtained varied between hyperbolic, trigonometric, and rational functions, and we hope those interested in the real-life applications of the previous two equations will find this approach useful.

Paper's Title:

An Analytical Solution of Perturbed Fisher's Equation Using Homotopy Perturbation Method (HPM), Regular Perturbation Method (RPM) and Adomian Decomposition Method (ADM)

Author(s):

Moussa Bagayogo, Youssouf Minoungou, Youssouf Pare

Departement de Mathematique,
Universite Ouaga I Pr Joseph Ki-Zerbo,
Burkina Faso.
E-mail: moussabagayogo94@gmail.com, m.youl@yahoo.fr, pareyoussouf@yahoo.fr.

Abstract:

In this paper, Homotopy Perturbation Method (HPM), Regular Pertubation Method (RPM) and Adomian decomposition Method (ADM) are applied to Fisher equation. Then, the solution yielding the given initial conditions is gained. Finally, the solutions obtained by each method are compared

Paper's Title:

Semicommutative and Semiprime Properties in Bi-amalgamated Rings

Author(s):

¹A. Aruldoss, ²C. Selvaraj, ³G. E. Chatzarakis, ⁴S. L. Panetsos, ⁵U. Leerawat

¹ Department of Mathematics,
Mepco Schlenk Engineering College,
Sivakasi-626 005, Tamilnadu,
India.
aruldossa529@gmail.com

² Department of Mathematics,
Periyar University,
Salem - 636 011, Tamilnadu,
India.
selvavlr@yahoo.com

 ^3,4 Department of Electrical and Electronic Engineering Educators,
School of Pedagogical and Technological Education (ASPETE),
Marousi 15122, Athens,
Greece.
geaxatz@otenet.gr spanetsos@aspete.gr

⁵ Department of Mathematics,
Faculty of Science, Kasetsart University,
Bangkok 10900,
Thailand.
fsciutl@ku.ac.th

Abstract:

Let α: A→ B and β: A→ C be two ring homomorphisms and I and I' be two ideals of B and C, respectively, such that α^{-1}(I)=β^{-1}(I'). In this paper, we give a characterization for the bi-amalgamation of A with (B, C) along (I, I') with respect to (α, β) (denoted by A⋈^{(α, β)}(I, I')) to be a SIT, semiprime, semicommutative and semiregular. We also give some characterization for these rings.

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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