%0 Journal Article
%T Investigation the boundary and initial value problems including fractional
integro-differential equations with singular kernels
%J Journal of Advanced Mathematical Modeling
%I Shahid Chamran University of Ahvaz
%Z 2251-8088
%A Derakhshan, Mohammadhossein
%A Jahanshahi, Mohammad
%A kazemi demneh, hamdam
%D 2021
%\ 04/21/2021
%V 11
%N 1
%P 97-108
%! Investigation the boundary and initial value problems including fractional
integro-differential equations with singular kernels
%K fractional integro-differential equation
%K singular
%K weak singularity
%R 10.22055/jamm.2021.34670.1848
%X In this paper, the initial and boundary value problems which includes singular fractional integro-differential equations, are investigated. The fractional derivative which is considered in this article, is the Caputo fractional derivative. The integral equations which are discussed in this paper either without any singularity or contain singular kernels that can be weak or strong. In addition to, in this paper to check and study the singularity and regularity of this type of integral equations are paid. Also, the given integral equations are in the form of initial and boundary value problems, which are discussed in terms of the number and manner of boundary conditions. Finally, some examples are provided for the accuracy and efficiency of the method.
%U https://jamm.scu.ac.ir/article_16754_c6167c953d970a9477df00345a912ce1.pdf