submitted by doasakm 1 year and 4 months ago - Topic: Informatics
In this paper, we investigate the existence of solutions under the Pettis integrability assumption for an initial value problem for a hyperbolic differential inclusion of Caputo fractional order. We apply the measure of weak noncompactness technique.
submitted by qaimorrona 1 year and 1 month ago - Topic: Informatics
Of the form, { ( c D α y − A y ) ( t ) ∈ F ( t , y ( t ) ) , a.e. t ∈ [ , b ] , y ( ) = y ∈ X , where c D α is the Caputo fractional derivative and F is a set-valued map. After several existence results, the compactn...
submitted by bischaw 1 year and 9 months ago - Topic: Informatics
In this paper we discuss the existence and uniqueness of a pseudo almost automorphic solution of an integro-differential equation in a Banach space X. We achieve our results using the methods of fractional powers of operators and the Banach fixed point theorem. These results are new and complemen...
submitted by 6673 1 year and 5 months ago - Topic: Informatics
In the this paper, we establish sufficient conditions for the existence and nonexistence of positive solutions to a general class of integral boundary value problems for a coupled system of fractional differential equations. The differential operator is taken in the Riemann–Liouville sense. Our...
submitted by AlleDenni 1 year and 3 months ago - Topic: Informatics
The aim of this manuscript is to analyze the existence of a periodic mild solution to the problem of the following nonlinear fractional differential equationwheredenotes the Riemann–Liouville fractional derivative. We obtained the expressions of the general solution for the linear fractional di...
submitted by eroxomommyin 11 months ago - Topic: Informatics
A second order semilinear differential inclusion with some boundary continuous and impulse characteristics in a separable Banach space is considered. Some existence theorems for mild solutions are given, when the multivalued nonlinearity of the inclusion is only a locally integrably bounded upper...
submitted by AbrahamJay 9 months ago - Topic: Informatics
In this paper, a class of boundary problems for second order semilinear differential inclusions is studied. By applying techniques from multivalued analysis and fixed point theorems due to Covitz–Nadler, Bohnenblust–Karlin and Schaefer, some existence results of solutions are presented for th...
submitted by Cheeseknocker 8 months ago - Topic: Informatics
This paper is concerned with the existence, uniqueness and continuous dependence of mild solution for an impulsive neutral fractional order differential equation with infinite delay. The results are obtained by using the fixed point technique and solution operator on a complex Banach space.
submitted by joemas999 6 months ago - Topic: Informatics
In this paper, we consider an initial value problem for a coupled system of multi-term nonlinear fractional differential equations { D α u ( t ) = f ( t , v ( t ) , D β 1 v ( t ) , … , D β N v ( t ) ) , D α − i u ( 0 ) = 0 , i = 1 ,...
submitted by AmosHugo 4 months ago - Topic: Informatics
In this work, we consider two classes of non-self-mappings, which are called proximal weakly contractive and proximal nonexpansive mappings, and study the existence of solutions of a minimization problem. Existence results of best proximity points for these two classes of non-self-mappings in met...
