On Some Qualitative Properties of Integrable Solutions for Cauchy-type Problem of Fractional Order
Journal Title: Journal of Mathematics and Applications - Year 2017, Vol 40, Issue
Abstract
The paper discusses the existence of solutions for Cauchy-type problem of fractional order in the space of Lebesgue integrable functions on bounded interval. Some qualitative properties of solutions are presented such as monotonicity, uniqueness and continuous dependence on the initial data. The main tools used are measure of weak (strong) noncompactness, Darbo fixed point theorem and fractional calculus.
Authors and Affiliations
Mohamed M. A. Metwali
Keywords
Related Articles
- EP ID EP342924
- DOI 10.7862/rf.2017.8
- Views 66
- Downloads 0
FG-coupled Fixed Point Theorems for Contractive Type Mappings in Partially Ordered Metric Spaces
In this paper we prove FG-coupled fixed point theorems for Kannan, Reich and Chatterjea type mappings in partially ordered complete metric spaces using mixed monotone property.
On a class of meromorphic functions defined by the convolution
In the present paper we define some classes of meromorphic functions with fixed argument of coefficients. Next we obtain coefficient estimates, distortion theorems, integral means inequalities, the radii of convexity and...
On differential sandwich theorems of analytic functions defined by certain generalized linear operator
In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Som...
On efficient evaluation of integrals entering boundary equations of 3D potential and elasticity theory
The paper presents recurrent formulae for efficient evaluation of all the integrals needed for solving static 3D potential and elasticity problems by the boundary elements method. The power-type asymptoties for the densi...
Ergodic Properties of Random Infinite Products of Nonexpansive Mappings
In this paper we are concerned with the asymptotic behavior of random (unrestricted) infinite products of nonexpansive selfmappings of closed and convex subsets of a complete hyperbolic space. In contrast with our previo...