Controllability of Hilfer fractional integro-differential equations of Sobolev-type with a nonlocal condition in a Banach space

DOI10.3934/EECT.2021016zbMath1483.34104OpenAlexW3147314737WikidataQ115219109 ScholiaQ115219109MaRDI QIDQ2119794

Kamal Jeet, Ankit Kumar, Ramesh Kumar Vats

Publication date: 30 March 2022

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2021016

zbMATH Keywords

exact controllabilitymeasure of noncompactnessSadovskii's fixed point theoremHilfer fractional derivativeSobolev-type

Mathematics Subject Classification ID

Controllability (93B05) Other nonlinear integral equations (45G10) Functional-differential equations in abstract spaces (34K30) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37)

Related Items (6)

Null controllability of \(\psi\)-Hilfer implicit fractional integro-differential equations with \(\psi\)-Hilfer fractional nonlocal conditions ⋮ A theoretical study of the fractional-order \(p\)-Laplacian nonlinear Hadamard type turbulent flow models having the Ulam-Hyers stability ⋮ Approximate controllability of delay nonautonomous integro‐differential system with impulses ⋮ Total approximate controllability of non-instantaneous impulsive fractional differential systems involving Riemann-Liouville derivatives of order \(\beta \in (1,2)\) ⋮ Results on the existence and approximate controllability of neutral‐type delay integro‐differential system with noninstantaneous impulse ⋮ Approximate controllability of neutral delay integro-differential inclusion of order \(\alpha\in (1, 2)\) with non-instantaneous impulses

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of mild solution for evolution equation with Hilfer fractional derivative
• Approximate controllability of nonlocal neutral fractional integro-differential equations with finite delay
• Existence and uniqueness for a problem involving hilfer fractional derivative
• Existence of solutions of abstract fractional integrodifferential equations of Sobolev type
• Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions
• Complete controllability of fractional evolution systems
• On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces
• On controllability of fractional impulsive neutral infinite delay evolution integrodifferential systems in Banach spaces
• Nonlocal initial value problems for differential equations with Hilfer fractional derivative
• Nonlocal Cauchy problem for abstract fractional semilinear evolution equations
• Existence of solutions to Sobolev-type partial neutral differential equations
• Basic theory of fractional differential equations
• Existence of mild solutions for fractional neutral evolution equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Some probability densities and fundamental solutions of fractional evolution equations
• Study on Sobolev type Hilfer fractional integro-differential equations with delay
• Controllability of fractional functional evolution equations of Sobolev type via characteristic solution operators
• Approximate controllability of second-order non-autonomous system with finite delay
• Numerical approach to the controllability of fractional order impulsive differential equations
• Approximate controllability of nonlocal and impulsive neutral integro-differential equations using the resolvent operator theory and an approximating technique
• Existence of mild solutions for a class of Hilfer fractional evolution equations with nonlocal conditions
• Approximate controllability of Sobolev type fractional evolution systems with nonlocal conditions
• Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions
• Controllability of Sobolev type fractional evolution systems
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• Abstract degenerate Cauchy problems in locally convex spaces

This page was built for publication: Controllability of Hilfer fractional integro-differential equations of Sobolev-type with a nonlocal condition in a Banach space