The extension of analytic solutions to FDEs to the negative half-line
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Publication:2144817
DOI10.3934/MATH.2021195OpenAlexW3122613093MaRDI QIDQ2144817
Publication date: 17 June 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021195
Fractional derivatives and integrals (26A33) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Fractional ordinary differential equations (34A08)
Cites Work
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- Algebraic operator method for the construction of solitary solutions to nonlinear differential equations
- A method for solving differential equations of fractional order
- Modelling of the hamstring muscle group by use of fractional derivatives
- A new operational matrix for solving fractional-order differential equations
- Fractional integro-differential equations for electromagnetic waves in dielectric media
- The development of fractional calculus 1695-1900
- Time-dependent fractional dynamics with memory in quantum and economic physics
- Restricted fractional differential transform for solving irrational order fractional differential equations
- Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networks
- Operator-based approach for the construction of analytical soliton solutions to nonlinear fractional-order differential equations
- A predictor-corrector approach for the numerical solution of fractional differential equations
- The role of fractional calculus in modeling biological phenomena: a review
- Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan
- The numerical study for the ground and excited states of fractional Bose-Einstein condensates
- Rational Krylov methods for functions of matrices with applications to fractional partial differential equations
- A novel Legendre operational matrix for distributed order fractional differential equations
- A new family of predictor-corrector methods for solving fractional differential equations
- Macroeconomic models with long dynamic memory: fractional calculus approach
- SPECIAL SOLUTIONS OF HUXLEY DIFFERENTIAL EQUATION
- Expressions of Solutions of Linear Partial Differential Equations Using Algebraic Operators and Algebraic Convolution
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- AN OPERATOR-BASED APPROACH FOR THE CONSTRUCTION OF CLOSED-FORM SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS
- Numerical solution for a class of space-time fractional equation by the piecewise reproducing kernel method
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
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