A study on impulsive Hilfer fractional evolution equations with nonlocal conditions

DOI10.1515/ijnsns-2019-0015OpenAlexW2982477951WikidataQ126861147 ScholiaQ126861147MaRDI QIDQ2180962

Yongxiang Li, Haide Gou

Publication date: 18 May 2020

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2019-0015

zbMATH Keywords

mild solutionsintegrodifferential equationsnoncompact measureHilfer fractional derivative

Mathematics Subject Classification ID

Integral equations (45-XX) Ordinary differential equations (34-XX)

Related Items (3)

Approximate controllability of nonlinear hilfer fractional stochastic differential system with Rosenblatt process and Poisson jumps ⋮ Finite-approximate controllability of impulsive \(\psi\)-Caputo fractional evolution equations with nonlocal conditions ⋮ Controllability of Hilfer type fractional evolution neutral integro-differential inclusions with non-instantaneous impulses

Cites Work

• Existence of mild solution for evolution equation with Hilfer fractional derivative
• Sobolev-type fractional stochastic differential equations with non-Lipschitz coefficients
• Abstract Cauchy problem for fractional differential equations
• Existence and uniqueness for a problem involving hilfer fractional derivative
• Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions
• On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces
• Nonlocal initial value problems for differential equations with Hilfer fractional derivative
• Existence of solutions to Sobolev-type partial neutral differential equations
• Stochastic functional differential equations of Sobolev-type with infinite delay
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Study on the mild solution of Sobolev type Hilfer fractional evolution equations with boundary conditions
• Impulsive Hilfer fractional differential equations
• Study on Sobolev type Hilfer fractional integro-differential equations with delay
• Boundary controllability of Sobolev-type abstract nonlinear integrodifferential systems
• Hilfer fractional stochastic integro-differential equations
• Existence of mild solutions for a class of Hilfer fractional evolution equations with nonlocal conditions
• Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay
• Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces
• Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative
• Periodic solutions of degenerate differential equations in vector-valued function spaces
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• On the existence for diffeo-integral inclusion of Sobolev-type of fractional order with applications
• Abstract degenerate Cauchy problems in locally convex spaces
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