Existence of the Mild Solutions for Nonlocal Fractional Differential Equations of Sobolev Type with Iterated Deviating Arguments
DOI10.1007/978-3-319-32857-7_3zbMath1360.34161OpenAlexW2511926841MaRDI QIDQ2954407
Alka Chadha, Dwijendra Narain Pandey
Publication date: 13 January 2017
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-32857-7_3
fractional calculusnonlocal conditionsCaputo derivativefractional differential equationdeviated argument
Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37) Implicit functional-differential equations (34K32)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sobolev type fractional abstract evolution equations with nonlocal conditions and optimal multi-controls
- Approximate controllability of fractional Sobolev-type evolution equations in Banach spaces
- Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions
- Existence of solutions to Sobolev-type partial neutral differential equations
- Existence of mild solutions for fractional neutral evolution equations
- Semigroups of linear operators and applications to partial differential equations
- Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Some probability densities and fundamental solutions of fractional evolution equations
- Controllability of fractional functional evolution equations of Sobolev type via characteristic solution operators
- Approximate controllability of Sobolev type nonlocal fractional stochastic dynamic systems in Hilbert spaces
- Globally bounded solutions of a system of nonlinear functional differential equations with iterated deviating argument
- Solutions converging to zero of some systems of nonlinear functional differential equations with iterated deviating argument
- Nonlinear abstract differential equations with deviated argument
- Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
This page was built for publication: Existence of the Mild Solutions for Nonlocal Fractional Differential Equations of Sobolev Type with Iterated Deviating Arguments