On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation
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Publication:2108290
DOI10.1186/s13661-019-1194-0OpenAlexW2944890452WikidataQ127968174 ScholiaQ127968174MaRDI QIDQ2108290
Shahram Rezapour, Zohreh Saberpour, Dumitru Baleanu
Publication date: 19 December 2022
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-019-1194-0
fractional differential inclusiondimension of the set of solutionsCaputo-Fabrizio fractional derivation
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel
- Two fractional derivative inclusion problems via integral boundary condition
- Duplication in a model of rock fracture with fractional derivative without singular kernel
- Fractional descriptor continuous-time linear systems described by the Caputo-Fabrizio derivative
- Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model
- Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation
- A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
- Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws
- The extended fractional Caputo-Fabrizio derivative of order \(0\leq \sigma <1\) on \(C_{\mathbb{R}}[0,1\) and the existence of solutions for two higher-order series-type differential equations]
- Blind in a commutative world: simple illustrations with functions and chaotic attractors
- Fractional derivatives with no-index law property: application to chaos and statistics
- A new derivative with normal distribution kernel: theory, methods and applications
- Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
- Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces
- Multi-valued operators and fixed point theorems in Banach algebras. I
- Multi-valued contraction mappings in generalized metric spaces
- On coupled systems of time-fractional differential problems by using a new fractional derivative
- Some existence results on nonlinear fractional differential equations
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