An Increasing Variables Singular System of Fractional Q-Differential Equations Via Numerical Calculations
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Date
2020
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Publisher
Springer
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GOLD
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Abstract
We investigate the existence of solutions for an increasing variables singular m-dimensional system of fractional q-differential equations on a time scale. In this singular system, the first equation has two variables and the number of variables increases permanently. By using some fixed point results, we study the singular system under some different conditions. Also, we provide two examples involving practical algorithms, numerical tables, and some figures to illustrate our main results.
Description
Rezapour, Shahram/0000-0003-3463-2607; Samei, Mohammad Esmael/0000-0002-5450-3127
Keywords
Computational Algorithm, Singularity, System Of Q-Differential Equations, The Caputo Q-Derivative, 34A08, 39A13, 39B72, The Caputo q-derivative, Scale (ratio), Fractional Differential Equations, Geometry, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Differential equation, Point (geometry), QA1-939, FOS: Mathematics, Singular solution, Variable (mathematics), Functional Differential Equations, Anomalous Diffusion Modeling and Analysis, Computational algorithm, Discontinuous Systems, Singularity, Applied Mathematics, Bifurcations in Planar Polynomial Systems, Physics, Applied mathematics, Regular singular point, Modeling and Simulation, Physical Sciences, Singular point of a curve, Geometry and Topology, System of q-differential equations, Mathematics, Ordinary differential equation, system of \(q\)-differential equations, Fractional ordinary differential equations, Fractional derivatives and integrals, computational algorithm, Methods of nonstandard analysis for ordinary differential equations, Applications of operator theory to differential and integral equations, singularity, Caputo \(q\)-derivative
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Samei, Mohammad Esmael; Baleanu, Dumitru; Rezapour, Shahram (2020). "An increasing variables singular system of fractional q-differential equations via numerical calculations", Advances in Difference Equations, Vol. 2020, No. 1.
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Q1
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OpenCitations Citation Count
2
Source
Advances in Difference Equations
Volume
2020
Issue
1
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