Solution of initial-value problem for linear third-order fuzzy differential equations
DOI10.1007/s40314-022-02111-xOpenAlexW4309374450MaRDI QIDQ2678818
Witold Pedrycz, Muhammad Akram, Ghulam Muhammad, Tofigh Allahviranloo
Publication date: 25 January 2023
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-022-02111-x
fuzzy Laplace transformstrongly generalized differentiabilityswitching pointsfuzzy initial-value problemMittag-Leffler function in single series
Theory of fuzzy sets, etc. (03E72) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Mittag-Leffler functions and generalizations (33E12) Linear ordinary differential equations and systems (34A30) Laplace transform (44A10) Fractional ordinary differential equations (34A08) Fuzzy ordinary differential equations (34A07)
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Cites Work
- Unnamed Item
- Elementary fuzzy calculus
- Solving second-order fuzzy differential equations by the fuzzy Laplace transform method
- On the initial value problem for fuzzy differential equations of non-integer order \(\alpha \in (1,2)\)
- Differentials of fuzzy functions
- Laplace transform formula on fuzzy \(n\)th-order derivative and its application in fuzzy ordinary differential equations
- The Cauchy problem for fuzzy differential equations
- Toward the existence and uniqueness of solutions of second-order fuzzy differential equations
- On the fuzzy initial value problem
- Towards fuzzy differential calculus. III: Differentiation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- The initial value problem for interval-valued second-order differential equations under generalized H-differentiability
- Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
- Applications of fuzzy Laplace transforms
- Existence and uniqueness of solutions to Cauchy problem of fuzzy differential equations
- Continuous solutions to a class of first-order fuzzy differential equations with discontinuous coefficients
- Solving interval-valued fractional initial value problems under Caputo gH-fractional differentiability
- Approximate solution of intuitionistic fuzzy differential equations with the linear differential operator by the homotopy analysis method
- Numerical solutions of special fuzzy partial differential equations in a reproducing kernel Hilbert space
- An efficient numerical method for solving \(m\)-polar fuzzy initial value problems
- Fuzzy fractional differential operators and equations. Fuzzy fractional differential equations
- Generalized differentiability of fuzzy-valued functions
- Fuzzy Laplace transforms
- A class of linear differential dynamical systems with fuzzy initial condition
- On fuzzy boundary value problems
- Investigation of a fuzzy problem by the fuzzy Laplace transform
- Analysis on determining the solution of fourth-order fuzzy initial value problem with Laplace operator
- On Fuzzy Mapping and Control
- Advances in Fuzzy Integral and Differential Equations
- Milstein method for solving fuzzy differential equation
- Some global existence results and stability theorem for fuzzy functional differential equations
- Fuzzy sets
- Fuzzy differential equations
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