Upper and Lower Solutions Method for Partial Hadamard Fractional Integral Equations and Inclusions
Journal Title: Discussiones Mathematicae Differential Inclusions Control and Optimization - Year 2015, Vol 35, Issue 2
Abstract
In this paper we use the upper and lower solutions method combined with Schauder's fixed point theorem and a fixed point theorem for condensing multivalued maps due to Martelli to investigate the existence of solutions for some classes of partial Hadamard fractional integral equations and inclusions.
Authors and Affiliations
Saïd Abbas, Eman Alaidarous, Wafaa Albarakati, Mouffak Benchohra
Keywords
Related Articles
- EP ID EP469422
- DOI 10.7151/dmdico.1172
- Views 60
- Downloads 0
On Schur-Cohn Stability of a Product of Operators in a Hilbert Space
A linear operator is said to be a Schur-Cohn stable one if its spectral radius is less than one. We consider the following problem: let A and B be bounded linear operators in a Hilbert space, and A be Schur-Cohn stable....
Spaces of Lipschitz functions on metric spaces
In this paper the universal properties of spaces of Lipschitz functions, defined over metric spaces, are investigated.
Mild solutions for some partial functional integrodifferential equations with state-dependent delay
In this work, we establish sufficient conditions for the existence of solutions for some partial functional integrodifferential equations with state-dependent delay. We suppose that the undelayed part admits a resolvent...
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...
A new existence results for fractional integro-differential equations of order αϵ(1,2] with nonlocal conditions in Banach spaces
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...