On an Extension of the Operator With Mittag-Leffler Kernel
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Date
2022
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Publisher
World Scientific Publ Co Pte Ltd
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HYBRID
Green Open Access
No
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Top 1%
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Abstract
Dealing with nonsingular kernels is not an easy task due to their restrictions at origin. In this short paper, we suggest an extension of the fractional operator involving the Mittag-Leffler kernel which admits integrable singular kernel at the origin. New solutions of the related differential equations were reported together with some perspectives from the modelling viewpoint.
Description
Keywords
Fractional Calculus, Mittag-Leffler Kernel, Economics, Operator (biology), Invertible matrix, Biochemistry, Gene, Convergence Analysis of Iterative Methods for Nonlinear Equations, Task (project management), Engineering, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Integrable system, Numerical Analysis, Algebra over a field, Extension (predicate logic), Pure mathematics, Applied mathematics, Computer science, Management, Programming language, Fracture Mechanics Modeling and Simulation, Fractional Derivatives, Chemistry, Mechanics of Materials, Modeling and Simulation, Physical Sciences, Kernel (algebra), Repressor, Transcription factor, Mathematics, Fractional ordinary differential equations, fractional calculus, Mittag-Leffler functions and generalizations, Fractional derivatives and integrals, Mittag-Leffler kernel, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Al-Refai, Mohammed; Baleanu, dumitru. (2022). "On An Extension Of The Operator With Mittag-Leffler Kernel", Fractals, Vol.30, No.5.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
73
Source
Fractals
Volume
30
Issue
5
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CrossRef : 2
Scopus : 112
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