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Some theorems on fractional semilinear evolution equations
Published/Copyright:
November 27, 2012
Abstract.
In this paper, we investigate the existence, uniqueness and other properties of solutions of fractional semilinear evolution equations in Banach spaces. The results are obtained by using fractional calculus, the well-known Banach fixed point theorem coupled with Bielecki type norm and the integral inequality established by E. Hernandez.
Keywords: Existence of solution; evolution equation; fractional calculus; continuous dependence; Hernandez's
inequality
Received: 2010-11-15
Revised: 2011-09-12
Accepted: 2011-10-10
Published Online: 2012-11-27
Published in Print: 2012-12-01
© 2012 by Walter de Gruyter Berlin Boston
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Keywords for this article
Existence of solution;
evolution equation;
fractional calculus;
continuous dependence;
Hernandez's
inequality
Articles in the same Issue
- Masthead
- Extending Lipschitz mappings continuously
- Approximation of entire function solutions of the Helmholtz equation having slow growth
- Optimal one-parameter mean bounds for the convex combination of arithmetic and geometric means
- Some theorems on fractional semilinear evolution equations
- Existence results for second-order impulsive neutral functional differential inclusions in Banach spaces
- Integral representation of set-valued sine families
- Modified Mann iterative algorithms by hybrid projection methods for nonexpansive semigroups and mixed equilibrium problems
- On the Lebesgue density theorem
- Lagrangian and Hamiltonian dynamics with imaginary time
- The Stone representation of an atomic complete Boolean algebra is Marczewski–Burstin representable
