ON THE NONLINEAR IMPULSIVE Ψ–HILFER FRACTIONAL DIFFERENTIAL EQUATIONS
DOI10.3846/mma.2020.11445zbMath1491.34013arXiv1901.01814OpenAlexW2955845505WikidataQ115219530 ScholiaQ115219530MaRDI QIDQ5016271
J. Vanterler da Costa Sousa, Jyoti P. Kharade, Kishor D. Kucche
Publication date: 13 December 2021
Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.01814
fixed point theoremexistence and uniquenessfractional differential equationsimpulsivenonlocal\( \Psi \)-Hilfer fractional derivative
Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) 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 (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions
- On a new class of impulsive fractional differential equations
- On recent developments in the theory of boundary value problems for impulsive fractional differential equations
- Nonlinear impulsive problems for fractional differential equations and Ulam stability
- Impulsive fractional functional differential equations
- Existence and uniqueness of solutions for the nonlinear impulsive fractional differential equations
- On the concept and existence of solution for impulsive fractional differential equations
- Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations
- The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces
- Impulsive fractional differential equations with variable times
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Existence of solutions for impulsive integral boundary value problems of fractional order
- On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator
- Some stability properties related to initial time difference for Caputo fractional differential equations
- A simple mathematical model inspired by the Purkinje cells: from delayed travelling waves to fractional diffusion
- Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations
- Stability of \(\psi\)-Hilfer impulsive fractional differential equations
- Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
- Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations
- On the \(\psi\)-Hilfer fractional derivative
- On the nonlinear \(varPsi\)-Hilfer fractional differential equations
- Fractional calculus and the ESR test
- A mathematical model on fractional Lotka-Volterra equations
- Existence and uniqueness of mild solutions to impulsive fractional differential equations
- Impulsive fractional differential equations in Banach spaces
- Implicit Fractional Differential and Integral Equations
- Existence and Hyers‐Ulam stability of fractional nonlinear impulsive switched coupled evolution equations
- A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator
- A nonlinear fractional model to describe the population dynamics of two interacting species
- Basic Theory of Fractional Differential Equations
- Nonlinear impulsive integro-differential equations of mixed type and optimal controls
This page was built for publication: ON THE NONLINEAR IMPULSIVE Ψ–HILFER FRACTIONAL DIFFERENTIAL EQUATIONS
