On More General Forms of Proportional Fractional Operators

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Abstract

In this article, more general types of fractional proportional integrals and derivatives are proposed. Some properties of these operators are discussed.

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Keywords

Proportional Derivative Of A Function With Respect To Another Function, General Fractional Proportional Integrals, General Fractional Proportional Derivatives, Matrix Inequalities and Geometric Means, Orthogonal Polynomials, 45p05, Fractional Integrals, Number theory, General Mathematics (math.GM), QA1-939, FOS: Mathematics, 26a33, Mathematics - General Mathematics, general fractional proportional derivatives, Anomalous Diffusion Modeling and Analysis, Algebra over a field, Applied Mathematics, general fractional proportional integrals, Fractional calculus, Pure mathematics, Applied mathematics, proportional derivative of a function with respect to another function, Fractional Derivatives, Modeling and Simulation, Physical Sciences, Fractional Calculus, 26A33, Mathematics, Fractional derivatives and integrals, Integral operators

Fields of Science

01 natural sciences, 0101 mathematics

Citation

Jarad, Fahd; Alqudah, Manar A.; Abdeljawad, Thabet (2020). "On more general forms of proportional fractional operators", Open Mathematics, Vol. 18, No. 1, pp. 167-176.

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77

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18

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1

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167

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176
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105

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94

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