A discussion concerning the existence results for the Sobolev-type Hilfer fractional delay integro-differential systems

DOI10.1186/s13662-021-03624-1zbMath1494.34167OpenAlexW3207663626WikidataQ115241163 ScholiaQ115241163MaRDI QIDQ2167241

Anurag Shukla, K. Kavitha, Shahram Rezapour, V. Vijayakumar, Kottakkaran Sooppy Nisar

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03624-1

zbMATH Keywords

measures of noncompactnessSobolev-type equationsgeneralized Caputo fractional derivativeHilfer fractional differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08) Functional-differential equations with fractional derivatives (34K37)

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Optimal control for Hilfer fractional neutral integrodifferential evolution equations with infinite delay ⋮ Discussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delay ⋮ Controllability discussion for fractional stochastic Volterra-Fredholm integro-differential systems of order \(1<r<2\) ⋮ Optimal Control Results for Sobolev-Type Fractional Stochastic Volterra-Fredholm Integrodifferential Systems of Order ϑ ∈ (1, 2) via Sectorial Operators ⋮ Approximate controllability of the semilinear population dynamics system with diffusion ⋮ New discussion on the existence and controllability of fractional evolution inclusion of order 1 < r < 2 without compactness ⋮ Results on the approximate controllability of Hilfer type fractional semilinear control systems ⋮ A discussion concerning to partial-approximate controllability of Hilfer fractional system with nonlocal conditions via approximating method ⋮ A note on the existence and controllability results for fractional integrodifferential inclusions of order \(r\in(1, 2\) with impulses] ⋮ Existence and controllability results for Hilfer fractional evolution equations via integral contractors

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