On Hilfer cotangent fractional derivative and a particular class of fractional problems
Copyright policy )On Hilfer cotangent fractional derivative and a particular class of fractional problems
<abstract><p>In this work, a novel Hilfer cotangent fractional derivative is presented. This derivative combines the characteristics of the Riemann-Liouville cotangent fractional derivative and the Caputo cotangent fractional derivative. The essential properties of the newly introduced derivative are discussed. By utilizing this derivative, a nonlinear fractional differential problem with a nonlocal initial condition is investigated, and its equivalence to a cotangent Volterra integral equation is demonstrated. The uniqueness and existence of solutions are established by employing fixed-point theorems. Additionally, two illustrative examples are provided to illustrate the obtained results.</p></abstract>
- Technical University of Cluj-Napoca Romania
- Abdelmalek Essaâdi University Morocco
Financial economics, Equivalence (formal languages), Economics, Geometry, cotangent fractional derivative, Generalizations of the derivative, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, cotangent volterra integral equation, hilfer cotangent fractional derivative, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Trigonometric functions, Numerical Analysis, Applied Mathematics, Physics, existence, Fractional calculus, Pure mathematics, Applied mathematics, fixed point theorems, Fractional Derivatives, Modeling and Simulation, Derivative (finance), Physical Sciences, Nonlinear system, Uniqueness, Mathematics
Financial economics, Equivalence (formal languages), Economics, Geometry, cotangent fractional derivative, Generalizations of the derivative, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, cotangent volterra integral equation, hilfer cotangent fractional derivative, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Trigonometric functions, Numerical Analysis, Applied Mathematics, Physics, existence, Fractional calculus, Pure mathematics, Applied mathematics, fixed point theorems, Fractional Derivatives, Modeling and Simulation, Derivative (finance), Physical Sciences, Nonlinear system, Uniqueness, Mathematics
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