On some generalizations of the bi-ordinal Hilfer's fractional derivative

DOI10.1007/S10559-024-00694-3MaRDI QIDQ6610546

V. M. Bulavatskij

Publication date: 25 September 2024

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

zbMATH Keywords

Laplace transformclosed-form solutionsCauchy-type problemsHilfer's fractional derivativecomposite propertiesbi-ordinal Hilfer's fractional derivativebi-ordinal Hilfer's fractional derivative of function with respect to another functionProportional bi-ordinal Hilfer's fractional derivative

Mathematics Subject Classification ID

Functions of one variable (26Axx) General theory for ordinary differential equations (34Axx) Integral transforms, operational calculus (44Axx)

Cites Work

• Title not available (Why is that?)
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• On a generalized diffusion equation arising in petroleum engineering
• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• \(N\)-dimensional fractional Fokker-Planck equation and its solutions for anomalous radial two-phase flow in porous media
• Mathematical models and problems of fractional-differential dynamics of some relaxation filtration processes
• A Caputo fractional derivative of a function with respect to another function
• More properties of the proportional fractional integrals and derivatives of a function with respect to another function
• On \(\psi\)-Hilfer generalized proportional fractional operators
• Generalized fractional derivatives and Laplace transform
• On the \(\psi\)-Hilfer fractional derivative
• Closed form of the solutions of some boundary-value problems for anomalous diffusion equation with Hilfer's generalized derivative
• On the nonlinear \(varPsi\)-Hilfer fractional differential equations
• A mechanical picture of fractional-order Darcy equation
• Fractional time evolution
• Non-local boundary value problem for a mixed-type equation involving the bi-ordinal Hilfer fractional differential operators
• Fractional Equations and Models
• A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator
• Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
• A New Approach to Generalized Fractional Derivatives
• Mittag-Leffler Functions, Related Topics and Applications
• A Gronwall inequality and its applications to the Cauchy-type problem under \(\psi\)-Hilfer proportional fractional operators
• Solvability of the boundary‐value problem for a mixed equation involving hyper‐Bessel fractional differential operator and bi‐ordinal Hilfer fractional derivative

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