tailieunhanh - Báo cáo hóa học: " Singular fractional integro-differential inequalities and applications"

Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí hóa hoc quốc tế đề tài : Singular fractional integro-differential inequalities and applications | Al-Jaser and Furati Journal of Inequalities and Applications 2011 2011 110 http content 2011 1 110 Journal of Inequalities and Applications a SpringerOpen Journal RESEARCH Open Access Singular fractional integro-differential inequalities and applications Asma Al-Jaser 1 and Khaled M Furati2 Correspondence asmaljaser@ department of Mathematical Sciences Princess Nora Bint Abdulrahman University Riyadh 84428 Saudi Arabia Full list of author information is available at the end of the article Springer Abstract In this article fractional integro-differential inequalities with singular coefficients have been considered. The bounds obtained for investigating the behavior of the solution of a class of singular nonlinear fractional differential equations has been used some applications are provided. 2010 Mathematics Subject Classification 26A33 34A08 34A34 45J05. Keywords Bihari inequality fractional differential equations Riemann-Liouville integral Cauchy-type problem singular differential equations 1. Introduction Many physical and chemical phenomena can be modeled with fractional differential equations. However finding solutions to such equations may not be possible in most cases particularly the nonlinear ones. Instead many researchers have been studying the qualitative attributes of the solutions without having them explicitly. In particular the existence and uniqueness of solutions of a wide class of Cauchy-type problems have been intensively investigated see for example 1 and the references therein. Also classes of boundary value problems have been considered. For example in 2 3 the authors established the existence and uniqueness of the solution for a class of linear and superlinear fractional differential equations. Inequalities play an important role in the study of existence uniqueness stability continuous dependence and perturbation. In 4-7 bounds for solutions of fractional differential inequalities of .

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