A New Dynamic Scheme Via Fractional Operators on Time Scale
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Date
2020
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Volume Title
Publisher
Frontiers Media Sa
Open Access Color
GOLD
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No
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Abstract
The present work investigates the applicability and effectiveness of the generalized Riemann-Liouville fractional integral operator integral method to obtain new Minkowski, Gruss type and several other associated dynamic variants on an arbitrary time scale, which are communicated as a combination of delta and fractional integrals. These inequalities extend some dynamic variants on time scales, and tie together and expand some integral inequalities. The present method is efficient, reliable, and it can be used as an alternative to establishing new solutions for different types of fractional differential equations applied in mathematical physics.
Description
Rahman, Gauhar/0000-0002-2728-7537
ORCID
Keywords
Minkowski' Inequlity, Gruss Inequality, Fractional Calculus, Rimenn-Liouville Fractional Integral Operator, Generalized Riemann-Liouville Fractional Integral Operator, Time Sccale, Holder Inequality, Scale (ratio), Fractional Differential Equations, QC1-999, fractional calculus, Operator (biology), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Gene, Biochemistry, Orthogonal Polynomials, FOS: Mathematics, Functional Differential Equations, Biology, Anomalous Diffusion Modeling and Analysis, Scheme (mathematics), Minkowski space, Ecology, Time-Fractional Diffusion Equation, Applied Mathematics, Physics, time sccale, Fractional calculus, Applied mathematics, Fractional Derivatives, Chemistry, Modeling and Simulation, Mathematical physics, FOS: Biological sciences, rimenn-liouville fractional integral operator, Physical Sciences, Repressor, Minkowski' inequlity, gruss inequality, Fractional Calculus, generalized riemann-liouville fractional integral operator, Transcription factor, Type (biology), Mathematics, Riemann hypothesis
Turkish CoHE Thesis Center URL
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Rashid, Saima...et al. (2020). "A New Dynamic Scheme via Fractional Operators on Time Scale", Frontiers in Physics, Vol. 8.
WoS Q
Q2
Scopus Q
Q3
OpenCitations Citation Count
13
Source
Frontiers in Physics
Volume
8
Issue
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Scopus : 19
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19
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10
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1
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