Mild solutions of Riemann–Liouville fractional differential equations with fractional impulses

DOI10.15388/NA.2017.6.2zbMath1420.34007OpenAlexW2790127868WikidataQ60199263 ScholiaQ60199263MaRDI QIDQ4968164

Subramaniam Kanjanadevi, Juan. J. Nieto, Annamalai Anguraj

Publication date: 12 July 2019

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

Full work available at URL: https://doi.org/10.15388/na.2017.6.2

zbMATH Keywords

fractional derivativeRiemann-Liouville operatorfractional impulsive conditions\((a,k)\)-regularized resolvent operator

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (6)

Integral representations of scalar delay non-instantaneous impulsive Riemann-Liouville fractional differential equations ⋮ Exact solutions of linear Riemann-Liouville fractional differential equations with impulses ⋮ On a fractional Rayleigh–Stokes equation driven by fractional Brownian motion ⋮ A numerical method for solving Caputo's and Riemann-Liouville's fractional differential equations which includes multi-order fractional derivatives and variable coefficients ⋮ On a backward problem for two-dimensional time fractional wave equation with discrete random data ⋮ Basic concepts of Riemann-Liouville fractional differential equations with non-instantaneous impulses

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Impulsive fractional partial differential equations
• On the compactness of fractional resolvent operator functions
• Initial value problems of fractional order with fractional impulsive conditions
• On the concept and existence of solution for impulsive fractional differential equations
• The existence of mild solutions for impulsive fractional partial differential equations
• On recent developments in the theory of abstract differential equations with fractional derivatives
• Continuity of solutions to discrete fractional initial value problems
• Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative
• Existence of solutions for impulsive neutral functional differential equations with nonlocal conditions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On the new concept of solutions and existence results for impulsive fractional evolution equations
• Regularized solutions for abstract Volterra equations
• Comments on the concept of existence of solution for impulsive fractional differential equations
• Response to ``Comments on the concept of existence of solution for impulsive fractional differential equations
• Abstract Cauchy problem for fractional functional differential equations
• Impulsive problems for fractional partial neutral functional integro-differential inclusions with infinite delay and analytic resolvent operators
• Mild solutions for abstract fractional differential equations
• ASYMPTOTICS FOR FRACTIONAL NONLINEAR HEAT EQUATIONS

This page was built for publication: Mild solutions of Riemann–Liouville fractional differential equations with fractional impulses