Research & Science Group Ltd.Communications in Nonlinear Analysis2371-79203120171101Global existence of solutions for an m-component reaction-diffusion system with a tridiagonal 2-Toeplitz diffusion matrix and polynomially growing reaction terms11489518ENSalem AbdelmalekDepartment of mathematics, University of Tebessa 12002 Algeria.0000-0001-9762-9654Samir BendoukhaElectrical Engineering Department, College of Engineering at Yanbu, Taibah University, Saudi Arabia.Journal Article20190624This paper is concerned with the local and global existence of solutions for a generalized m-component<br />a reaction-diffusion system with a tridiagonal 2-Toeplitz diffusion matrix and polynomial growth. We derive<br />the eigenvalues and eigenvectors and determine the parabolicity conditions in order to diagonalize the<br />proposed system. We, then, determine the invariant regions and utilize a Lyapunov functional to establish<br />the global existence of solutions for the proposed system. A numerical example is used to illustrate and<br />conrm the findings of the study.https://www.cna-journal.com/article_89518_1b7526e07a8e04529e0d1c831bbb8163.pdfResearch & Science Group Ltd.Communications in Nonlinear Analysis2371-79203120171101Existence results for a coupled systems of Chandrasekhar quadratic integral equations152289746ENFazal HaqDepartment of Mathematics, Hazara University Mansehra, Khyber Pakhtunkhwa, Pakistan.Kamal ShahDepartment of Mathematics, University of Malakand Dir(L), Khyber Pakhtunkhwa, Pakistan.Ghaus UR-Rahman)Department of Mathematics, University of Swat, Khyber Pakhtunkhwa, Pakistan.Muhammad ShahzadDepartment of Mathematics, Hazara University Mansehra, Khyber Pakhtunkhwa, Pakistan.Journal Article20190627In this article, we study a coupled systems of generalized Chandrasekhar quadratic integral equations,<br />which is widely applicable in various disciplines of science and technology. By using the contraction mapping<br />principle and successive approximation, we develop suffcient conditions for existence and uniqueness of<br />the solution. Also, an example is provided to illustrate our main results.https://www.cna-journal.com/article_89746_9ba22fb87047d31efabf168f6246b9cc.pdfResearch & Science Group Ltd.Communications in Nonlinear Analysis2371-79203120171101Some Gamidov like integral inequalities on time scales and applications233389747ENBadreddine MeftahLaboratoire des telecommunications, Faculte des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box
401, 24000 Guelma, Algeria.Journal Article20190627In the present paper, we establish some Gamidov like integral inequalities on time scales, the obtained<br />results can be used as tools for the study of certain qualitative properties of solutions for differential and<br />difference equations.https://www.cna-journal.com/article_89747_beaa5f8791cc7ff79ad61632e1b21644.pdfResearch & Science Group Ltd.Communications in Nonlinear Analysis2371-79203120171101Existence of positive solutions to a coupled system with threepoint boundary conditions via degree theory344389748ENS. SaminaDepartment of Mathematics, University of Malakand Dir(L), Khyber Pakhtunkhwa, Pakistan.Kamal ShahDepartment of Mathematics, University of Malakand Dir(L), Khyber Pakhtunkhwa, Pakistan.Rahmat Ali KhanDepartment of Mathematics, University of Malakand Dir(L), Khyber Pakhtunkhwa, Pakistan.Journal Article20190627In this paper, we study the existence of solutions of nonlinear fractional hybrid differential equations. By<br />using the topological degree theory, some results on the existence of solutions are obtained. The results are<br />demonstrated by a proper example.https://www.cna-journal.com/article_89748_41f1eed2eb95b25a10bd51f449e6ab53.pdf