Numerical solution of fractional boundary value problem with Caputo-Fabrizio and its fractional integral
DOI10.1007/s12190-022-01708-zOpenAlexW4210433667MaRDI QIDQ2103148
I. Mansouri, A. A. Azeb Ahmed, M. Moumen Bekkouche
Publication date: 13 December 2022
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-022-01708-z
fractional integralfractional boundary value problemCaputo-Fabrizio fractional derivativeVolterra-Fredholm integral equation
Numerical methods for integral equations (65R20) Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Volterra integral equations (45D05) Fractional ordinary differential equations (34A08)
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Cites Work
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- Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel
- Existence and uniqueness for a problem involving hilfer fractional derivative
- Approximating solution of Fabrizio-Caputo Volterra's model for population growth in a closed system by homotopy analysis method
- Fractional calculus models of complex dynamics in biological tissues
- Fractional differential equations in electrochemistry
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel
- Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge: a study of fractional calculus on metric graph
- On the solvability fractional of a boundary value problem with new fractional integral
- On the mathematical model of Rabies by using the fractional Caputo-Fabrizio derivative
- A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative
- A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative
- A new derivative with normal distribution kernel: theory, methods and applications
- A new fractional integral associated with the Caputo-Fabrizio fractional derivative
- Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations
- New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives
- Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu
- An approach based on Haar wavelet for the approximation of fractional calculus with application to initial and boundary value problems
- Optimal Control Problems Driven by Time-Fractional Diffusion Equations on Metric Graphs: Optimality System and Finite Difference Approximation
- A First Course in Integral Equations
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