Application of reproducing kernel Hilbert space method for solving second-order fuzzy Volterra integro-differential equations

DOI10.1186/s13662-018-1937-8zbMath1451.65235OpenAlexW2907073664WikidataQ128689143 ScholiaQ128689143MaRDI QIDQ1716374

Ghaleb N. Gumah, Mohammed Al-Smadi, Mohammad Fuad Mohammad Naser, Shrideh K. Q. Al-Omari

Publication date: 4 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1937-8

zbMATH Keywords

complete orthonormal systemreproducing kernel Hilbert spacefuzzy Volterra integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Fuzzy real analysis (26E50) Fuzzy functional-differential equations (34K36)

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Cites Work

• Existence of global solutions to nonlinear fuzzy Volterra integro-differential equations
• Solutions to uncertain Volterra integral equations by fitted reproducing kernel Hilbert space method
• Elementary fuzzy calculus
• A boundary value problem for second order fuzzy differential equations
• A new reproducing kernel Hilbert space method for solving nonlinear fourth-order boundary value problems
• Fuzzy integral equations
• Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique
• Solving the Lane-Emden equation within a reproducing kernel method and group preserving scheme
• Numerical solutions of fuzzy differential equations by an efficient Runge-Kutta method with generalized differentiability
• Numerical investigations for systems of second-order periodic boundary value problems using reproducing kernel method
• Averaging fuzzy biopolymers
• Uncertain viscoelastic models with fractional order: a new spectral tau method to study the numerical simulations of the solution
• Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method
• From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold
• Toward a generalized theory of uncertainty (GTU) -- an outline
• Numerical solution of linear fuzzy Volterra integro-differential equations by variational iteration method
• Fuzzy sets
• Fuzzy differential equations
• Fuzzy differential equations