A new fractional integral associated with the Caputo-Fabrizio fractional derivative

DOI10.1007/s12215-020-00557-8zbMath1481.26006OpenAlexW3089051038MaRDI QIDQ2243649

M. Moumen Bekkouche, Hamza Guebbai, S. Benmahmoud, Muhammet Kurulay

Publication date: 11 November 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00557-8

zbMATH Keywords

Green's functionfractional integralfractional boundary value problemCaputo-Fabrizio fractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items (5)

Caputo-Fabrizio fractional differential equations with non instantaneous impulses ⋮ Caputo-Fabrizio fractional differential equations with instantaneous impulses ⋮ Proper inverse operators of fractional derivatives with nonsingular kernels ⋮ Numerical solution of fractional boundary value problem with Caputo-Fabrizio and its fractional integral ⋮ Successive approximations for Caputo-Fabrizio fractional differential equations

Uses Software

• Matlab

Cites Work

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• Recent history of fractional calculus
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Initial value problem for nonlinear fractional differential equations with sequential fractional derivative
• A new modified definition of Caputo-fabrizio fractional-order derivative and their applications to the multi step homotopy analysis method (MHAM)
• Properties of the Caputo-Fabrizio fractional derivative and its distributional settings
• Attractors for fractional differential problems of transition to turbulent flows
• Numerical comparison of FNVIM and FNHPM for solving a certain type of nonlinear Caputo time-fractional partial differential equations
• A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative
• A fractional order alcoholism model via Caputo-Fabrizio derivative
• Theoretical analysis of a model of fluid flow in a reservoir with the Caputo-Fabrizio operator
• Fundamental results on weighted Caputo-Fabrizio fractional derivative
• Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations
• Exact Solution of Two-Term Nonlinear Fractional Differential Equation with Sequential Riemann-Liouville Derivatives
• New Trends in Nanotechnology and Fractional Calculus Applications
• ON FRACTIONAL RELAXATION
• APPLICATION OF THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL TO KORTEWEG-DE VRIES-BURGERS EQUATION∗
• Positive solutions for boundary value problem of nonlinear fractional differential equation

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