Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability (Q6640242)

scientific article; zbMATH DE number 7946142

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English	Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability	scientific article; zbMATH DE number 7946142

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instance of

scholarly article

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title

Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability (English)

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author

Hicham Ait Mohammed

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Mohammed El-Hadi Mezabia

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Boundary Value Problems

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publication date

18 November 2024

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zbMATH Keywords

Caputo fractional derivative

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variable order

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multi-point boundary value problem

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Kuratowski measure of noncompactness

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fixed point theorems

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MaRDI profile type

Publication

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cites work

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Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard derivative

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\(\varPsi\)-Bielecki-type norm inequalities for a generalized Sturm-Liouville-Langevin differential equation involving \(\varPsi\)-Caputo fractional derivative

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Approximate solutions and Hyers-Ulam stability for a system of the coupled fractional thermostat control model via the generalized differential transform

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Approximate solution for a fractional BVP under Ψ‐Riemann–Liouville operators via iterative method and artificial neural networks

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On a generalized fractional boundary value problem based on the thermostat model and its numerical solutions via Bernstein polynomials

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Variable-order fractional derivatives and their numerical approximations

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On the fractional variable order thermostat model: existence theory on cones via piece-wise constant functions

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On the concept and existence of solution for impulsive fractional differential equations

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Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order

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On existence of BVP's for impulsive fractional differential equations

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Impulsive fractional differential equations in Banach spaces

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Existence and stability of a Caputo variable-order boundary value problem

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Q3385518

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Advances in harmonic analysis and operator theory. The Stefan Samko anniversary volume on the occasion of his 70th birthday. Mainly based on the presentations at two conferences, Lisbon and Aveiro, Portugal, in June -- July, 2011

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Existence results for fractional differential equations with integral and multi-point boundary conditions

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A Caputo fractional derivative of a function with respect to another function

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On Darbo-Sadovskii's fixed point theorems type for abstract measures of (weak) noncompactness

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Identifiers

Mathematics Subject Classification ID

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10.1186/S13661-024-01943-2

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Sitelinks

Mathematics(1 entry)

mardi Publication:6640242