Existence, uniqueness and stability of fractional impulsive functional differential inclusions
DOI10.1007/s40863-021-00259-8zbMath1483.34110OpenAlexW3184110003WikidataQ121842564 ScholiaQ121842564MaRDI QIDQ2054975
Kishor D. Kucche, J. Vanterler da Costa Sousa
Publication date: 3 December 2021
Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40863-021-00259-8
stabilityexistence and uniquenessfractional differential inclusionsBanach fixed pointmultivalued analysis theory
Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37) Functional-differential inclusions (34K09)
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Cites Work
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- Existence and controllability for fractional evolution inclusions of Clarke's subdifferential type
- Existence results for \(m\)th-order impulsive functional differential inclusions
- Existence results for second order impulsive functional differential inclusions
- Topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions
- Fractional integro-differential equations with dual anti-periodic boundary conditions.
- Existence of solutions of nonlinear stochastic integrodifferential inclusions in a Hilbert space
- \(\psi\)-Hilfer pseudo-fractional operator: new results about fractional calculus
- Existence results for impulsive neutral stochastic functional integro-differential equations with infinite delays
- Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions
- On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator
- Controllability of fractional integro-differential evolution equations with nonlocal conditions
- Note on the solution of random differential equations via \(\psi\)-Hilfer fractional derivative
- Ulam-Hyers-Mittag-Leffler stability for \(\psi\)-Hilfer fractional-order delay differential equations
- Krasnosel'skii type hybrid fixed point theorems and their applications to fractional integral equations
- Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
- Controllability for noninstantaneous impulsive semilinear functional differential inclusions without compactness
- The \(\psi\)-Hilfer fractional calculus of variable order and its applications
- Some fixed point theorems for \(F(\psi,\varphi)\)-contractions and their application to fractional differential equations
- Leibniz type rule: \(\psi\)-Hilfer fractional operator
- On the \(\psi\)-Hilfer fractional derivative
- Attractivity for differential equations of fractional order and \(\psi\)-Hilfer type
- Existence and uniqueness of solutions for a coupled system of sequential fractional differential equations with initial conditions
- Application of simulation function and measure of noncompactness for solvability of nonlinear functional integral equations and introduction to an iteration algorithm to find solution
- On the nonlinear \(varPsi\)-Hilfer fractional differential equations
- Asymptotically periodic solutions for Caputo type fractional evolution equations
- Periodic solutions to impulsive differential inclusions with constraints
- Extensions and selections of maps with decomposable values
- On the iterative learning control of fractional impulsive evolution equations in Banach spaces
- Approximate controllability of impulsive Hilfer fractional differential inclusions
- Controllability of coupled systems for impulsiveφ-Hilfer fractional integro-differential inclusions
- Controllability of Hilfer fractional noninstantaneous impulsive semilinear differential inclusions with nonlocal conditions
