๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces

โœ Scribed by Krishnan Balachandran; Juan J. Trujillo

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
286 KB
Volume
72
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper we prove the existence of solutions of certain kinds of nonlinear fractional integrodifferential equations in Banach spaces. Further, Cauchy problems with nonlocal initial conditions are discussed for the aforementioned fractional integrodifferential equations. At the end, an example is presented.

๐Ÿ“œ SIMILAR VOLUMES

Nonlocal Cauchy Problems for Neutral Fun
Nonlocal Cauchy Problems for Neutral Functional Differential and Integrodifferential Inclusions in Banach Spaces
โœ M. Benchohra; S.K. Ntouyas ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 121 KB

In this paper we investigate the existence of mild solutions on a compact interval to initial value problems for neutral functional differential and integrodifferential inclusions in Banach spaces with nonlocal conditions. The results are obtained by using a fixed point theorem for condensing maps d

Controllability of fractional impulsive
Controllability of fractional impulsive neutral integrodifferential systems with a nonlocal Cauchy condition in Banach spaces
โœ Zhixin Tai ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 210 KB

In this work the controllability of fractional impulsive neutral functional integrodifferential systems with a nonlocal Cauchy condition in a Banach space has been addressed. Sufficient conditions for the controllability are established using fractional powers of operators and the Banach contraction

Existence results for fractional impulsi
Existence results for fractional impulsive integrodifferential equations in Banach spaces
โœ K. Balachandran; S. Kiruthika; J.J. Trujillo ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 222 KB

This paper is mainly concerned with the existence of solutions of first order nonlinear impulsive fractional integrodifferential equations in Banach spaces. The results are obtained by using fixed point principles. Further, some interesting examples are presented to illustrate the theory.

Initial Value Problems for Systems of In
Initial Value Problems for Systems of Integrodifferential Equations in Banach Spaces
โœ Song Guang-xing ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 84 KB

In this paper, by the use of new comparison results and mixed monotone iterative techniques, the existence of solutions of initial value problems for systems of integrodifferential equations in Banach spaces is discussed. The results obtained in this paper generalize and improve the results correspo