Some existence and stability results for Hilfer-fractional implicit differential equations with nonlocal conditions
DOI10.1007/S00009-017-1061-0zbMath1390.34029OpenAlexW2781992287MaRDI QIDQ1744151
D. Vivek, K. Kanagarajan, Elsayed M. Elsayed
Publication date: 16 April 2018
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-017-1061-0
Implicit ordinary differential equations, differential-algebraic equations (34A09) Perturbations of ordinary differential equations (34D10) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)
Related Items (43)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of mild solution for evolution equation with Hilfer fractional derivative
- Existence and uniqueness for a problem involving hilfer fractional derivative
- New concepts and results in stability of fractional differential equations
- Nonlocal initial value problems for differential equations with Hilfer fractional derivative
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator
- A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability
- Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition
- Hyers-Ulam stability of linear differential equations of first order.
- On the Ulam-Hyers stability of first order differential systems with nonlocal initial conditions
- Existence results for fractional order functional differential equations with infinite delay
- Existence and stability results for nonlinear implicit fractional differential equations with delay and impulses
- GENERALIZED ULAM–HYERS STABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS
- Ulam stability and data dependence for fractional differential equations with Caputo derivative
- Global existence and uniqueness for implicit differential equation of arbitrary order
- L1-solutions for implicit fractional order differential equations with nonlocal conditions
This page was built for publication: Some existence and stability results for Hilfer-fractional implicit differential equations with nonlocal conditions