On approximate controllability of multi-term time fractional measure differential equations with nonlocal conditions

DOI10.1007/S13540-022-00075-7zbMath1503.34141OpenAlexW4292291628WikidataQ114016958 ScholiaQ114016958MaRDI QIDQ2110576

Amadou Diop

Publication date: 21 December 2022

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13540-022-00075-7

zbMATH Keywords

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

Mathematics Subject Classification ID

Controllability (93B05) Fractional derivatives and integrals (26A33) Control problems involving ordinary differential equations (34H05) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37)

Related Items (3)

New notion of mild solutions for higher-order Riemann-Liouville fractional systems involving non-instantaneous impulses ⋮ A study on mild solutions for multi-term time fractional measure differential equations ⋮ On the \(S\)-asymptotically \(\omega\)-periodic mild solutions for multi-term time fractional measure differential equations

Cites Work

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• 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
• Approximate controllability of differential inclusions in Hilbert spaces
• Measure functional differential equations and functional dynamic equations on time scales
• 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
• Existence and approximate controllability of semilinear measure driven systems with nonlocal conditions
• Cauchy problem for fractional non-autonomous evolution equations
• Existence and approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators
• Approximate controllability of second-order non-autonomous system with finite delay
• Asymptotic behavior of fractional order semilinear evolution equations.
• Approximate controllability of non-autonomous evolution system with nonlocal conditions
• Existence of solutions for semilinear measure driven equations
• Measures of noncompactness in spaces of regulated functions with application to semilinear measure driven equations
• Approximate controllability of impulsive differential equations with state-dependent delay
• Approximate Controllability of Semilinear Deterministic and Stochastic Evolution Equations in Abstract Spaces
• 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
• Weak Compactness in L 1 (μ, X)
• Approximate controllability of partial neutral functional differential systems of fractional order with state-dependent delay
• Existence of solution for non-autonomous semilinear measure driven equations

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