Perturbation for fractional-order evolution equation
β Scribed by Mohamed A. E. Herzallah; Ahmed M. A. El-Sayed; Dumitru Baleanu
- Book ID
- 106487016
- Publisher
- Springer Netherlands
- Year
- 2010
- Tongue
- English
- Weight
- 286 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0924-090X
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## Abstract In this paper, we develop the approach and techniques of [Boucherif A., Precup R., Semilinear evolution equations with nonlocal initial conditions, Dynam. Systems Appl., 2007, 16(3), 507β516], [Zhou Y., Jiao F., Nonlocal Cauchy problem for fractional evolution equations, Nonlinar Anal.
In this paper we investigate the existence of solutions for functional partial perturbed hyperbolic differential equations with fractional order. These results are based upon a fixed point theorem for the sum of contraction and compact operators.