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 i
Nonlocal Cauchy problem for delay integrodifferential equations of Sobolev type in Banach spaces
โ Scribed by K. Balachandran; J.Y. Park; M. Chandrasekaran
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 628 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
In this paper, we prove the existence of mild and strong solutions of nonlinear time varying delay integrodifferential equations of Sobolev type with nonlocal cqnditions in Banach spaces. The results are obtained by using the theory of compact semigroups and Schaefer's fixed-point theorem.
๐ SIMILAR VOLUMES
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
Sufficient conditions for controllability of Sobolev-type integrodifferential systems in Banach spaces are established. The results are obtained using compact semigroups and the Schauder fixed-point theorem. As an example is provided to illustrate the results.
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