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We obtain the existence of solutions for the boundary values problems of n th-order impulsive singular nonlinear integro-differential equations in Banach spaces by applying the Mönch fixed point theorem.
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In this paper we investigate vector-valued parabolic initial boundary value problems of relaxation type.
This article proposes a new type of discretizations for initial boundary value problems of thermodynamical systems.
Conventional approaches for solving this vital issue are based on classical formulations of boundary value problems of elasticity.
Consider the boundary value problems of the following type.
The study of boundary value problems of fractional q-difference equations is in its infancy.
The boundary value problems of fractional differential equations have attracted the attention of many authors.
There have been many papers focused on boundary value problems of fractional differential equations (see [1 27]).
Generally speaking, the boundary value problems of differential equations can be roughly divided into two parts.
Nonlocal boundary value problems of fractional differential equations have been extensively studied in the recent years.
More recently, boundary value problems of nonlinear fractional q-difference equations have gained popularity and importance.
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