Existence of mild solutions for multi-term time fractional measure differential equations

DOI10.1007/S41478-022-00420-2zbMath1497.34089OpenAlexW4224100151WikidataQ115371106 ScholiaQ115371106MaRDI QIDQ2093871

Amadou Diop

Publication date: 27 October 2022

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-022-00420-2

zbMATH Keywords

fixed point theoryfractional calculusregulated functionsgeneralized semigroup theorymulti-term time-fractionalHenstock-Lebesgue-Stieltjes integral

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Difference equations (39A99) Functional-differential equations with fractional derivatives (34K37) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On existence of nonlinear measure driven equations involving non-absolutely convergent integrals
• Decay mild solutions for two-term time fractional differential equations in Banach spaces
• Regulated solutions for nonlinear measure driven equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Nonsmooth impact mechanics. Models, dynamics and control
• Nonlocal controllability of fractional measure evolution equation
• Asymptotic behavior of fractional order semilinear evolution equations.
• Existence of solutions for semilinear measure driven equations
• Measures of noncompactness in spaces of regulated functions with application to semilinear measure driven equations
• On a new class of abstract impulsive differential equations
• Approximate controllability of semilinear measure driven systems
• Optimal controls problems for some impulsive stochastic integro-differential equations with state-dependent delay
• Approximate controllability of non-instantaneous impulsive semilinear measure driven control system with infinite delay via fundamental solution
• Existence of solution for non-autonomous semilinear measure driven equations

This page was built for publication: Existence of mild solutions for multi-term time fractional measure differential equations