A new existence results for fractional integro-differential equations of order αϵ(1,2] with nonlocal conditions in Banach spaces
Journal Title: Discussiones Mathematicae Differential Inclusions Control and Optimization - Year 2017, Vol 37, Issue 2
Abstract
In this manuscript, we examine for a class of fractional integro-differential equations (abbreviated by, FIDEs) of order αϵ(1,2] with nonlocal conditions (abbreviated by, NLCs) in Banach spaces. In the beginning, a more suitable idea for mild solution is presented and verified. Then, existence of mild solution is investigated by utilizing the fractional calculus, semigroup theory, and fixed point theorems with the strongly continuous α-order cosine family. At last, an illustration is also provided to exhibit the obtained results.
Authors and Affiliations
Selvaraj Suganya, Dumitru Baleanu, Duraisamy Mallika, Mani Mallika Arjunan
Keywords
Related Articles
- EP ID EP482068
- DOI 10.7151/dmdico.1199
- Views 45
- Downloads 0
Topological properties of some spaces of continuous operators
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X,E) be the space of all E-valued bounded continuous functions on X, equipped with the strict topology β. We study topological properties of...
Multiple Solutions for Dirichlet Impulsive Fractional Differential Inclusions Involving the p-Laplacian with Two Parameters
In this paper, the authors establish the existence of at least three weak solutions for impulsive differential inclusions involving two parameters and the p-Laplacian and having Dirichlet boundary conditions. Their appro...
Effective energy integral functionals for thin films with three dimensional bending moment in the Orlicz-Sobolev space setting
In this paper we consider an elastic thin film ωϵR2 with the bending moment depending also on the third thickness variable. The effective energy functional defined on the Orlicz-Sobolev space over ω is described by Γ-con...
Existence of monotone solutions for functional differential inclusions without convexity
The aim of this paper is to prove, under weaker hypothesis, the existence result of monotone solutions for autonomous and nonautonomous functional differential inclusions.
On the uniform convergence of sine, cosine and double sine-cosine series
In this paper we define new classes of sequences GM(β,r) and DGM(α,β,γ,r). Using these classes we generalize and extend the P.Kórus results concerning the uniform convergence of sine, cosine and double sine-cosine series...