Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator
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Publication:6140781
DOI10.1002/mma.7305zbMath1529.34003OpenAlexW3149957502MaRDI QIDQ6140781
Omar Abu Arqub, Mohammed Alhodaly, Jagdev Singh, Banan Maayah
Publication date: 2 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.7305
characterization theoremfuzzy ABC fractional derivativefuzzy ABC solutionfuzzy ABC FFIVPnumerical analytical RKHSM
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Fractional ordinary differential equations (34A08) Fuzzy ordinary differential equations (34A07)
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Cites Work
- Unnamed Item
- Unnamed Item
- Reproducing kernel functions for difference equations
- On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem
- The variational iteration method for fuzzy fractional differential equations with uncertainty
- Retracted: Fuzzy fractional Ostrowski inequality with Caputo differentiability
- Solving fuzzy fractional differential equations by fuzzy Laplace transforms
- Approximate solutions for MHD squeezing fluid flow by a novel method
- Elementary fuzzy calculus
- Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
- On new solutions of fuzzy differential equations
- On the fuzzy initial value problem
- Reproducing kernel spaces and applications
- Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm
- Solving the Lane-Emden equation within a reproducing kernel method and group preserving scheme
- A Jacobi operational matrix for solving a fuzzy linear fractional differential equation
- Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems
- Numerical solution of seventh-order boundary value problems by a novel method
- Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
- Explicit solutions of fractional differential equations with uncertainty
- Group preserving scheme and reproducing kernel method for the Poisson-Boltzmann equation for semiconductor devices
- A novel method for a fractional derivative with non-local and non-singular kernel
- Fractional derivatives with no-index law property: application to chaos and statistics
- Reproducing kernel Hilbert space method for solving Bratu's problem
- An adaptive numerical approach for the solutions of fractional advection-diffusion and dispersion equations in singular case under Riesz's derivative operator
- Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel
- Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions
- Investigation of the fractional coupled viscous Burgers' equation involving Mittag-Leffler kernel
- Comparing the new fractional derivative operators involving exponential and Mittag-Leffler kernel
- Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana-Baleanu fractional operator
- Atangana-Baleanu fractional approach to the solutions of Bagley-Torvik and Painlevé equations in Hilbert space
- Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense
- Fractional difference operators with discrete generalized Mittag-Leffler kernels
- Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC fractional Volterra integro-differential equations
- A numerical method for singularly perturbed turning point problems with an interior layer
- Numerical solutions of time-fractional partial integrodifferential equations of Robin functions types in Hilbert space with error bounds and error estimates
- Computational algorithm for solving singular Fredholm time-fractional partial integrodifferential equations with error estimates
- Approximate solution of time-fractional fuzzy partial differential equations
- Representation of the exact solution for a kind of nonlinear partial differential equation
- Numerical algorithm for parabolic problems with non-classical conditions
- Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method
- On the new fractional derivative and application to nonlinear Baggs and Freedman model
- The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations
- A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation
- Numerical algorithm for solving time‐fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions
- Solutions of time‐fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space
- Approximate Solutions of DASs with Nonclassical Boundary Conditions using Novel Reproducing Kernel Algorithm
- Solving optimal control problems of Fredholm constraint optimality via the reproducing kernel Hilbert space method with error estimates and convergence analysis
- PIECEWISE OPTIMAL FRACTIONAL REPRODUCING KERNEL SOLUTION AND CONVERGENCE ANALYSIS FOR THE ATANGANA–BALEANU–CAPUTO MODEL OF THE LIENARD’S EQUATION
- THE REPRODUCING KERNEL ALGORITHM FOR NUMERICAL SOLUTION OF VAN DER POL DAMPING MODEL IN VIEW OF THE ATANGANA–BALEANU FRACTIONAL APPROACH
- Characterizations of two different fractional operators without singular kernel
- Numerical Algorithm for the Solutions of Fractional Order Systems of Dirichlet Function Types with Comparative Analysis
- Fuzzy differential equations
- European option pricing models described by fractional operators with classical and generalized<scp>Mittag‐Leffler</scp>kernels
