Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations
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Publication:6140774
DOI10.1002/mma.7228OpenAlexW3129481580MaRDI QIDQ6140774
Mohammed Alhodaly, Omar Abu Arqub, Jagdev Singh
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.7228
reproducing kernel algorithmAtangana-Baleanu-Caputo fractional derivativeAtangana-Baleanu fractional integralfuzzy fractional integrodifferential equationsfuzzy inductance-resistance-capacitance circuit
Fractional derivatives and integrals (26A33) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Integral equations (45-XX)
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Cites Work
- Unnamed Item
- Unnamed Item
- Similarity measures of sequence of fuzzy numbers and fuzzy risk analysis
- 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
- 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
- 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
- Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
- Explicit solutions of fractional differential equations with uncertainty
- 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
- An adaptive numerical approach for the solutions of fractional advection-diffusion and dispersion equations in singular case under Riesz's derivative operator
- A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment
- 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
- 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
- Exact traveling wave solutions of Chaffee–Infante equation in (2 + 1)‐dimensions and dimensionless Zakharov equation
- Numerical Algorithm for the Solutions of Fractional Order Systems of Dirichlet Function Types with Comparative Analysis
- Fuzzy differential equations