Existence of the Mild Solutions for Delay Fractional Integrodifferential Equations with Almost Sectorial Operators

Existence of mild solutions of random impulsive functional differential equations with almost sectorial operators

By using the theory of semigroups of growth α, we prove the existence and uniqueness of the mild solution for the random impulsive functional differential equations involving almost sectorial operators. An example is given to illustrate the theory. c ©2012 NGA. All rights reserved.

Existence of Mild Solutions to Fractional Integrodifferential Equations of Neutral Type with Infinite Delay

We study the solvability of the fractional integrodifferential equations of neutral type with infinite delay in a Banach space X. An existence result of mild solutions to such problems is obtained under the conditions in respect of Kuratowski's measure of noncompactness. As an application of the abstract result, we show the existence of solutions for an integrodifferential equation.

Existence of Extremal Solutions for Impulsive Delay Fuzzy Integrodifferential Equations in $n$-dimensional Fuzzy Vector Space

In this paper, we study the existence of extremal solutions forimpulsive delay fuzzy integrodifferential equations in$n$-dimensional fuzzy vector space, by using monotone method. Weshow that obtained result is an extension of the result ofRodr'{i}guez-L'{o}pez cite{rod2} to impulsive delay fuzzyintegrodifferential equations in $n$-dimensional fuzzy vector space.

Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay

Existence of Mild Solutions for Nonlocal Cauchy Problem for Fractional Neutral Evolution Equations with Infinite Delay

In this article, we study the existence of mild solutions for nonlocal Cauchy problem for fractional neutral evolution equations with infinite delay. The results are obtained by using the Banach contraction principle. Finally, an application is given to illustrate the theory. Full text