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Global existence and stability results for partial fractional random differential equations
-
Saïd Abbas
und
Eman Hilal
Veröffentlicht/Copyright:
4. November 2015
Abstract
We investigate some existence and stability results for the Darboux problem of partial fractional random differential equations in Banach spaces. Our existence results are based upon some fixed point theorems.
Keywords: Fractional random differential equation; left-sided mixed Riemann–Liouville integral; Caputo fractional order derivative; Darboux problem; random solution; stability; fixed point
The authors are grateful to the referee the careful reading of the paper and for the helpful remarks.
Received: 2015-2-26
Revised: 2015-7-7
Accepted: 2015-7-11
Published Online: 2015-11-4
Published in Print: 2015-12-1
© 2015 by De Gruyter
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Artikel in diesem Heft
- Frontmatter
- Approximation of common fixed points of left Bregman strongly nonexpansive mappings and solutions of equilibrium problems
- Global existence and stability results for partial fractional random differential equations
- One-phase Stefan problem with temperature-dependent thermal conductivity and a boundary condition of Robin type
- On Janowski harmonic functions
- Oscillation results for higher order nonlinear neutral differential equations with positive and negative coefficients
- Averaging of a nonlinear bipolar model with phase transition and oscillating external forces
- Evolution and monotonicity of the first eigenvalue of p-Laplacian under the Ricci-harmonic flow
Schlagwörter für diesen Artikel
Fractional random differential equation;
left-sided mixed Riemann–Liouville integral;
Caputo fractional order derivative;
Darboux problem;
random solution;
stability;
fixed point
Artikel in diesem Heft
- Frontmatter
- Approximation of common fixed points of left Bregman strongly nonexpansive mappings and solutions of equilibrium problems
- Global existence and stability results for partial fractional random differential equations
- One-phase Stefan problem with temperature-dependent thermal conductivity and a boundary condition of Robin type
- On Janowski harmonic functions
- Oscillation results for higher order nonlinear neutral differential equations with positive and negative coefficients
- Averaging of a nonlinear bipolar model with phase transition and oscillating external forces
- Evolution and monotonicity of the first eigenvalue of p-Laplacian under the Ricci-harmonic flow
