On the impulsive implicit Ψ‐Hilfer fractional differential equations with delay

DOI10.1002/MMA.6017zbMath1450.34057arXiv1908.07793OpenAlexW2984459948MaRDI QIDQ5116936

Jyoti P. Kharade, Kishor D. Kucche

Publication date: 19 August 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07793

zbMATH Keywords

stabilityexistence and uniquenessfractional differential equationsfractional integral inequality\( \Psi \)-Hilfer derivative

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Inequalities involving derivatives and differential and integral operators (26D10) Functional-differential equations with fractional derivatives (34K37) Perturbations of functional-differential equations (34K27) Implicit functional-differential equations (34K32)

Related Items (23)

Some properties of implicit impulsive coupled system via \(\varphi \)-Hilfer fractional operator ⋮ New generalized conformable fractional impulsive delay differential equations with some illustrative examples ⋮ Existence and uniqueness results for sequential \(\psi\)-Hilfer fractional pantograph differential equations with mixed nonlocal boundary conditions ⋮ Uniqueness and Ulam-Hyers-Mittag-Leffler stability results for the delayed fractional multiterm differential equation involving the \(\Phi\)-Caputo fractional derivative ⋮ On the nonlinear \((k,\Psi)\)-Hilfer fractional differential equations ⋮ Unnamed Item ⋮ Null controllability of \(\psi\)-Hilfer implicit fractional integro-differential equations with \(\psi\)-Hilfer fractional nonlocal conditions ⋮ Fractional optimal reachability problems with ψ‐Hilfer fractional derivative ⋮ Unnamed Item ⋮ Hyers–Ulam stability for boundary value problem of fractional differential equations with κ‐Caputo fractional derivative ⋮ A study of fractional differential equation with a positive constant coefficient via Hilfer fractional derivative ⋮ Controllability of Hilfer type fractional evolution neutral integro-differential inclusions with non-instantaneous impulses ⋮ On coupled system of nonlinear \(\Psi\)-Hilfer hybrid fractional differential equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Reachability of fractional dynamical systems using ψ-Hilfer pseudo-fractional derivative ⋮ Ulam-Hyers type stability for \(\psi\)-Hilfer fractional differential equations with impulses and delay ⋮ Existence and attractivity results for ѱ-Hilfer hybrid fractional differential equations ⋮ Controllability results for Sobolev type \(\psi\)-Hilfer fractional backward perturbed integro-differential equations in Hilbert space ⋮ On the nonlinear \(\Psi\)-Hilfer hybrid fractional differential equations

This page was built for publication: On the impulsive implicit Ψ‐Hilfer fractional differential equations with delay