NUMERICAL SOLUTION OF SECOND-ORDER  FUZZY DIFFERENTIAL EQUATION OF INTEGER  AND FRACTIONAL ORDER USING REPRODUCING KERNEL HILBERT SPACE METHOD TOOLS

Asia Khalaf Albzeirat; Muhammad Zaini Ahmad; Shaher Momani; Banan Maayah

doi:10.17654/ms101061327

NUMERICAL SOLUTION OF SECOND-ORDER FUZZY DIFFERENTIAL EQUATION OF INTEGER AND FRACTIONAL ORDER USING REPRODUCING KERNEL HILBERT SPACE METHOD TOOLS

Far East Journal of Mathematical Sciences (FJMS) ◽

10.17654/ms101061327 ◽

2017 ◽

Vol 101 (6) ◽

pp. 1327-1351 ◽

Cited By ~ 1

Author(s):

Asia Khalaf Albzeirat ◽

Muhammad Zaini Ahmad ◽

Shaher Momani ◽

Banan Maayah

Keyword(s):

Differential Equation ◽

Hilbert Space ◽

Numerical Solution ◽

Fractional Order ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Second Order ◽

Fuzzy Differential Equation ◽

Space Method

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Approximate Solutions of Second-Order Obstacle Problem of Fractional-order Using Reproducing Kernel Hilbert Space Method

SSRN Electronic Journal ◽

10.2139/ssrn.3285988 ◽

2018 ◽

Author(s):

Shatha Hasan ◽

Mohammed Al-Smadi ◽

Asad Freihet ◽

Shaher Momani

Keyword(s):

Hilbert Space ◽

Fractional Order ◽

Obstacle Problem ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Approximate Solutions ◽

Second Order ◽

Space Method

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Numerical Solution of the Fractional Relaxation-Oscillation Equation by Using Reproducing Kernel Hilbert Space Method

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-021-01087-2 ◽

2021 ◽

Vol 7 (4) ◽

Author(s):

Nourhane Attia ◽

Ali Akgül ◽

Djamila Seba ◽

Abdelkader Nour

Keyword(s):

Hilbert Space ◽

Numerical Solution ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Relaxation Oscillation ◽

Fractional Relaxation ◽

Oscillation Equation ◽

Space Method

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Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.08.002 ◽

2009 ◽

Vol 215 (6) ◽

pp. 2095-2102 ◽

Cited By ~ 36

Author(s):

Fazhan Geng

Keyword(s):

Hilbert Space ◽

Boundary Value Problems ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Boundary Value ◽

Second Order ◽

Point Boundary ◽

Space Method

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Numerical solution of nonlinear delay differential equations of fractional order in reproducing kernel Hilbert space

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.06.012 ◽

2015 ◽

Vol 268 ◽

pp. 815-831 ◽

Cited By ~ 6

Author(s):

M. Ghasemi ◽

M. Fardi ◽

R. Khoshsiar Ghaziani

Keyword(s):

Hilbert Space ◽

Differential Equations ◽

Numerical Solution ◽

Fractional Order ◽

Delay Differential Equations ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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Approximate solutions of fuzzy differential equations of fractional order using modified reproducing kernel Hilbert space method

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.010.05.13 ◽

2017 ◽

Vol 10 (05) ◽

pp. 2423-2439 ◽

Cited By ~ 1

Author(s):

Asia Khalaf Albzeirat ◽

Muhammad Zaini Ahmad ◽

Shaher Momani ◽

Norazrizal Aswad Abdul Rahman

Keyword(s):

Hilbert Space ◽

Differential Equations ◽

Fractional Order ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Approximate Solutions ◽

Space Method

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New implementation of reproducing kernel Hilbert space method for solving a fuzzy integro-differential equation of integer and fractional orders

Journal of King Saud University - Science ◽

10.1016/j.jksus.2017.04.002 ◽

2018 ◽

Vol 30 (3) ◽

pp. 352-358 ◽

Cited By ~ 1

Author(s):

Asia Khalaf Albzeirat ◽

Muhammad Zaini Ahmad ◽

Shaher Momani ◽

Israr Ahmad

Keyword(s):

Differential Equation ◽

Hilbert Space ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Integro Differential Equation ◽

Fractional Orders ◽

Space Method

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Reproducing kernel Hilbert space method for nonlinear second order singularly perturbed boundary value problems with time-delay

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2021.110674 ◽

2021 ◽

Vol 144 ◽

pp. 110674

Author(s):

Shu-Bo Chen ◽

Samaneh Soradi-Zeid ◽

Hemen Dutta ◽

Mehdi Mesrizadeh ◽

Hadi Jahanshahi ◽

...

Keyword(s):

Hilbert Space ◽

Time Delay ◽

Boundary Value Problems ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

Space Method

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

Advances in Difference Equations ◽

10.1186/s13662-018-1937-8 ◽

2018 ◽

Vol 2018 (1) ◽

Cited By ~ 10

Author(s):

Ghaleb N. Gumah ◽

Mohammad F. M. Naser ◽

Mohammed Al-Smadi ◽

Shrideh K. Al-Omari

Keyword(s):

Hilbert Space ◽

Differential Equations ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Second Order ◽

Space Method

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A Reproducing Kernel Hilbert Space Method for Solving Integro-Differential Equations of Fractional Order

Journal of Optimization Theory and Applications ◽

10.1007/s10957-012-0207-2 ◽

2012 ◽

Vol 156 (1) ◽

pp. 96-105 ◽

Cited By ~ 10

Author(s):

Samia Bushnaq ◽

Shaher Momani ◽

Yong Zhou

Keyword(s):

Hilbert Space ◽

Differential Equations ◽

Fractional Order ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Space Method

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Reproducing Kernel Hilbert Space Method for Solving Bratu’s Problem

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-014-0018-8 ◽

2014 ◽

Vol 38 (1) ◽

pp. 271-287 ◽

Cited By ~ 18

Author(s):

Mustafa Inc ◽

Ali Akgül ◽

Fazhan Geng

Keyword(s):

Hilbert Space ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Bratu’S Problem ◽

Space Method

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