Existence and asymptotic behavior of mild solutions for fractional measure differential equations

DOI10.11948/20220435MaRDI QIDQ6615050

Publication date: 8 October 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

fixed point theory fractional calculus regulated functions generalized semigroup theory multi-term time-fractional Henstock-Lebesgue-Stieltjes integral

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20) Periodic solutions to functional-differential equations (34K13) Continuous and differentiable maps in nonlinear functional analysis (46T20)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
On existence of nonlinear measure driven equations involving non-absolutely convergent integrals
Asymptotically periodic solutions of fractional differential equations
Decay mild solutions for two-term time fractional differential equations in Banach spaces
Measure differential inclusions -- between continuous and discrete
Stability of fractional-order linear time-invariant systems with multiple noncommensurate orders
Regulated solutions for nonlinear measure driven equations
Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
On \(S\)-asymptotically \(\omega \)-periodic functions and applications
Nonlinear two-term time fractional diffusion-wave problem
Measure functional differential equations and functional dynamic equations on time scales
Differential systems involving impulses
On \(S\)-asymptotically \(\omega \)-periodic functions on Banach spaces and applications
Boundary value problems for multi-term fractional differential equations
Existence of classical solutions to nonautonomous nonlocal parabolic problems
Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces
Semilinear evolution inclusions with nonlocal conditions
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem
Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
S-asymptotically \(\omega\)-periodic solution for fractional differential equations of order \(q\in(0, 1)\) with finite delay
Decay mild solutions for elastic systems with structural damping involving nonlocal conditions
Nonsmooth impact mechanics. Models, dynamics and control
Nonlocal controllability of fractional measure evolution equation
Computational study on the dynamics of fractional order differential equations with applications
Mathematical analysis of the Cauchy type dynamical system under piecewise equations with Caputo fractional derivative
Existence and approximate controllability of semilinear measure driven systems with nonlocal conditions
Existence of positive solutions for weighted fractional order differential equations
Asymptotic behavior of fractional order semilinear evolution equations.
Asymptotically periodic solutions for Caputo type fractional evolution equations
On a class of time-fractional differential equations
Cauchy problems for some classes of linear fractional differential equations
S-asymptotically \(\omega\)-periodic mild solutions of neutral fractional differential equations with finite delay in Banach space
Existence of solutions for semilinear measure driven equations
Measures of noncompactness in spaces of regulated functions with application to semilinear measure driven equations
Existence of \(S\)-asymptotically \(\omega \)-periodic solutions for fractional order functional integro-differential equations with infinite delay
Equivalent system for a multiple-rational-order fractional differential system
On the Appearance of the Fractional Derivative in the Behavior of Real Materials
Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
Brownian subordinators and fractional Cauchy problems
On a new class of abstract impulsive differential equations
Basic results for functional differential and dynamic equations involving impulses
Approximate controllability of semilinear measure driven systems
Optimal controls problems for some impulsive stochastic integro-differential equations with state-dependent delay
Exponential decay for elastic systems with structural damping and infinite delay
Weak Compactness in L 1 (μ, X)
Higher order PDE’s and iterated processes
Optimal Control Theory for Nonlinear Vector Differential Equations Containing Measures
An Abstract Measure Differential Equation
Existence and stability of measure differential equations
Existence of solution for non-autonomous semilinear measure driven equations

This page was built for publication: Existence and asymptotic behavior of mild solutions for fractional measure differential equations

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6615050)