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Existence and controllability of nonlocal mixed <scp>Volterra‐Fredholm</scp> type fractional delay integro‐differential equations of order 1 < <i>r</i> < 2 - MaRDI portal

Existence and controllability of nonlocal mixed <scp>Volterra‐Fredholm</scp> type fractional delay integro‐differential equations of order 1 < <i>r</i> < 2 (Q6147887)

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scientific article; zbMATH DE number 7798400

Language	Label	Description	Also known as
English	Existence and controllability of nonlocal mixed <scp>Volterra‐Fredholm</scp> type fractional delay integro‐differential equations of order 1 < <i>r</i> < 2	scientific article; zbMATH DE number 7798400

Statements

scholarly article

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Existence and controllability of nonlocal mixed <scp>Volterra‐Fredholm</scp> type fractional delay integro‐differential equations of order 1 < <i>r</i> < 2 (English)

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Williams Kavitha Williams

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Udhayakumar Ramalingam

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Sumati Kumari Panda

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Kottakkaran Sooppy Nisar

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Numerical Methods for Partial Differential Equations

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publication date

1 February 2024

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zbMATH Keywords

controllability

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existence

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fractional derivative

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integro-differential system

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nonlocal conditions

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MaRDI profile type

MaRDI publication profile

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Basic Theory of Fractional Differential Equations

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Nonlocal Cauchy problem for abstract fractional semilinear evolution equations

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Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems

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Approximate controllability results for fractional semilinear integro-differential inclusions in Hilbert spaces

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Fractional relaxation-oscillation and fractional diffusion-wave phenomena.

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Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces

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Existence of the mild solution for some fractional differential equations with nonlocal conditions

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A Cauchy problem for some fractional abstract differential equation with non local conditions

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Connecting various types of cyclic contractions and contractive self-mappings with Hardy-Rogers self-mappings

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A new approach to the solution of non-linear integral equations via various \(F_{B_e}\)-contractions

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Approximate controllability of fractional stochastic integro-differential equations with infinite delay of order 1 < α < 2

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Approximate controllability of fractional nonlinear differential inclusions

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On the approximate controllability of semilinear fractional differential systems

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Approximate controllability of nonlinear fractional dynamical systems

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Controllability results for a class of fractional semilinear integro-differential inclusions via resolvent operators

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Existence and controllability results for fractional semilinear differential inclusions

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Existence of mild solutions for fractional neutral evolution equations

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Nonlocal Cauchy problem for fractional evolution equations

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Controllability results for fractional order neutral functional differential inclusions with infinite delay

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Controllability for fractional evolution inclusions without compactness

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Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness

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Results on the existence and controllability of fractional integro-differential system of order \(1<r<2\) via measure of noncompactness

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A new approach on the approximate controllability of fractional differential evolution equations of order \(1<r<2\) in Hilbert spaces

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Existence of solutions and approximate controllability of fractional nonlocal neutral impulsive stochastic differential equations of order \(1<q<2\) with infinite delay and Poisson jumps

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Existence of solutions and approximate controllability of fractional nonlocal stochastic differential equations of order \(1<q\leq 2\) with infinite delay and Poisson jumps

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The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\)

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UPPER AND LOWER SOLUTION METHOD FOR FRACTIONAL EVOLUTION EQUATIONS WITH ORDER 1 < α < 2

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Approximate controllability and existence of mild solutions for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order \(1 < \alpha < 2\)

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The existence of positive mild solutions for fractional differential evolution equations with nonlocal conditions of order \(1<\alpha<2\)

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Optimal controls for fractional stochastic functional differential equations of order \(\alpha \in (1, 2]\)

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Existence of mild solutions for fractional evolution equations

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Cosine families and abstract nonlinear second order differential equations

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Approximate controllability of second-order evolution differential inclusions in Hilbert spaces

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Controllability of impulsive differential systems with nonlocal conditions

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Existence criteria for integral equations in Banach spaces

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Nonlocal controllability of semilinear dynamic systems with fractional derivative in Banach spaces

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Vector-valued Laplace Transforms and Cauchy Problems

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Enumeration of the Real Zeros of the Mittag-Leffler Function Eα(z), 1 <α< 2

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Controllability of mixed Volterra-Fredholm-type integro-differential inclusions in Banach spaces

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Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions

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Approximate controllability results for non-densely defined fractional neutral differential inclusions with Hille–Yosida operators

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Existence of solutions for nonlinear mixed type integro-differential functional evolution equations with nonlocal conditions

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1002/NUM.22697

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Sitelinks

Mathematics(1 entry)

mardi Publication:6147887

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