Abstract
This paper discusses the existence and controllability of a class of fractional order evolution inclusions with time-varying delay. In the weak topology setting we establish the existence of solutions. Then the controllability of this system with a nonlocal condition is established by applying the Glicksberg-Ky Fan fixed point theorem. As an application, nonlocal problems of a fractional reaction-diffusion equation with a discontinuous nonlinear term is examined.
Acknowledgements
The first author was partially supported by the National Natural Science Foundation of China (No. 11401042, 11301541).
References
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© 2018 Diogenes Co., Sofia
Articles in the same Issue
- Frontmatter
- Editorial
- FCAA related news, events and books (FCAA–Volume 21–4–2018)
- Survey Paper
- Subordination in a class of generalized time-fractional diffusion-wave equations
- Research Paper
- An integral relationship for a fractional one-phase Stefan problem
- Finite-approximate controllability of fractional evolution equations: variational approach
- Determination of order in linear fractional differential equations
- Thermal blow-up in a finite strip with superdiffusive properties
- Existence and controllability for nonlinear fractional differential inclusions with nonlocal boundary conditions and time-varying delay
- Series representation of the pricing formula for the European option driven by space-time fractional diffusion
- PLC-based discrete fractional-order control design for an industrial-oriented water tank volume system with input delay
- Caputo-Hadamard fractional differential equations in banach spaces
- Finite difference method for two-dimensional nonlinear time-fractional subdiffusion equation
- Novel numerical analysis of multi-term time fractional viscoelastic non-newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid
- Fractional lumped capacitance
- On the behavior of solutions of fractional differential equations on time scale via Hilfer fractional derivatives
Articles in the same Issue
- Frontmatter
- Editorial
- FCAA related news, events and books (FCAA–Volume 21–4–2018)
- Survey Paper
- Subordination in a class of generalized time-fractional diffusion-wave equations
- Research Paper
- An integral relationship for a fractional one-phase Stefan problem
- Finite-approximate controllability of fractional evolution equations: variational approach
- Determination of order in linear fractional differential equations
- Thermal blow-up in a finite strip with superdiffusive properties
- Existence and controllability for nonlinear fractional differential inclusions with nonlocal boundary conditions and time-varying delay
- Series representation of the pricing formula for the European option driven by space-time fractional diffusion
- PLC-based discrete fractional-order control design for an industrial-oriented water tank volume system with input delay
- Caputo-Hadamard fractional differential equations in banach spaces
- Finite difference method for two-dimensional nonlinear time-fractional subdiffusion equation
- Novel numerical analysis of multi-term time fractional viscoelastic non-newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid
- Fractional lumped capacitance
- On the behavior of solutions of fractional differential equations on time scale via Hilfer fractional derivatives