Global attracting solutions to Hilfer fractional differential inclusions of Sobolev type with noninstantaneous impulses and nonlocal conditions

DOI10.15388/NA.2019.5.6MaRDI QIDQ5236454

Ahmed Gamal Ibrahim, JinRong Wang, Donal O'Regan

Publication date: 8 October 2019

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

zbMATH Keywords

differential inclusionsnonlocal conditionsnoninstantaneous impulsesHilfer fractional derivativesglobal attracting solutions

Mathematics Subject Classification ID

Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34Kxx) Nonlinear operators and their properties (47Hxx)

Related Items (6)

Asymptotically periodic behavior of solutions to fractional non-instantaneous impulsive semilinear differential inclusions with sectorial operators ⋮ Existence and stability of solutions of \(\psi\)-Hilfer fractional functional differential inclusions with non-instantaneous impulses ⋮ Solutions for a singular Hadamard-type fractional differential equation by the spectral construct analysis ⋮ Unnamed Item ⋮ Extremal solutions for a class of tempered fractional turbulent flow equations in a porous medium ⋮ Finite-time attractivity of solutions for a class of fractional differential inclusions with finite delay

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces
• Existence of mild solution for evolution equation with Hilfer fractional derivative
• Existence and uniqueness for a problem involving hilfer fractional derivative
• Nonlocal initial value problems for differential equations with Hilfer fractional derivative
• Nonlocal Cauchy problem for fractional evolution equations
• Topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions
• A new representation formula for the Hilfer fractional derivative and its application
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• A semilinear Sobolev evolution equation in a Banach space
• Globally attracting solutions to impulsive fractional differential inclusions of Sobolev type
• Controllability of fractional functional evolution equations of Sobolev type via characteristic solution operators
• Numerical analysis for Navier-Stokes equations with time fractional derivatives
• Decay integral solutions for a class of impulsive fractional differential equations in Banach spaces
• Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations
• Existence of mild solutions for fractional evolution equations
• Existence results and asymptotic behavior for nonlocal abstract Cauchy problems
• Controllability of Sobolev type fractional evolution systems
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Learning formation control for fractional‐order multiagent systems
• Iterative learning control with pulse compensation for fractional differential systems
• On a new class of abstract impulsive differential equations
• On the center-stable manifolds for some fractional differential equations of Caputo type
• Hilfer-type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditions
• Decay integral solutions for neutral fractional differential equations with infinite delays
• Set-valued analysis

This page was built for publication: Global attracting solutions to Hilfer fractional differential inclusions of Sobolev type with noninstantaneous impulses and nonlocal conditions