Further studies on ordinary differential equations involving the $ M $-fractional derivative
Copyright policy )Further studies on ordinary differential equations involving the $ M $-fractional derivative
<abstract><p>In the current paper, the power series based on the $ M $-fractional derivative is formally introduced. More peciesely, the Taylor and Maclaurin expansions are generalized for fractional-order differentiable functions in accordance with the $ M $-fractional derivative. Some new definitions, theorems, and corollaries regarding the power series in the $ M $ sense are presented and formally proved. Several ordinary differential equations (ODEs) involving the $ M $-fractional derivative are solved to examine the validity of the results presented in the current study.</p></abstract>
- Near East University
- Spanish National Research Council Spain
- Hanyang University Korea (Republic of)
- China Medical University Taiwan
- Çankaya University Turkey
Financial economics, theorems and corollaries, Ode, Fractional Differential Equations, Economics, Generalizations of the derivative, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Differential equation, Differentiable function, QA1-939, FOS: Mathematics, Series (stratigraphy), Taylor series, power series, Functional Differential Equations, Biology, Anomalous Diffusion Modeling and Analysis, Order (exchange), Numerical Analysis, new definitions, Applied Mathematics, Fractional calculus, m-fractional derivative, Paleontology, Power series, Applied mathematics, Fractional Derivatives, ordinary differential equations, Modeling and Simulation, Derivative (finance), Physical Sciences, Mathematics, Ordinary differential equation, Finance
Financial economics, theorems and corollaries, Ode, Fractional Differential Equations, Economics, Generalizations of the derivative, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Differential equation, Differentiable function, QA1-939, FOS: Mathematics, Series (stratigraphy), Taylor series, power series, Functional Differential Equations, Biology, Anomalous Diffusion Modeling and Analysis, Order (exchange), Numerical Analysis, new definitions, Applied Mathematics, Fractional calculus, m-fractional derivative, Paleontology, Power series, Applied mathematics, Fractional Derivatives, ordinary differential equations, Modeling and Simulation, Derivative (finance), Physical Sciences, Mathematics, Ordinary differential equation, Finance
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