Abu Arqub, Omar; Singh, Jagdev; Maayah, Banan; Alhodaly, Mohammed Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag-Leffler kernel differential operator. (English) Zbl 07782462 Math. Methods Appl. Sci. 46, No. 7, 7965-7986 (2023). MSC: 34A07 34A08 34A12 65L05 46E22 PDFBibTeX XMLCite \textit{O. Abu Arqub} et al., Math. Methods Appl. Sci. 46, No. 7, 7965--7986 (2023; Zbl 07782462) Full Text: DOI
Maayah, Banan; Moussaoui, Asma; Bushnaq, Samia; Arqub, Omar Abu The multistep Laplace optimized decomposition method for solving fractional-order coronavirus disease model (COVID-19) via the Caputo fractional approach. (English) Zbl 1505.92210 Demonstr. Math. 55, 963-977 (2022). MSC: 92D30 44A10 34A08 49M27 PDFBibTeX XMLCite \textit{B. Maayah} et al., Demonstr. Math. 55, 963--977 (2022; Zbl 1505.92210) Full Text: DOI
Momani, Shaher; Maayah, Banan; Arqub, Omar Abu The reproducing kernel algorithm for numerical solution of Van der Pol damping model in view of the Atangana-Baleanu fractional approach. (English) Zbl 07468592 Fractals 28, No. 8, Article ID 2040010, 12 p. (2020). MSC: 65Mxx PDFBibTeX XMLCite \textit{S. Momani} et al., Fractals 28, No. 8, Article ID 2040010, 12 p. (2020; Zbl 07468592) Full Text: DOI
Momani, Shaher; Arqub, Omar Abu; Maayah, Banan Piecewise optimal fractional reproducing kernel solution and convergence analysis for the Atangana-Baleanu-Caputo model of the Lienard’s equation. (English) Zbl 07468589 Fractals 28, No. 8, Article ID 2040007, 13 p. (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Momani} et al., Fractals 28, No. 8, Article ID 2040007, 13 p. (2020; Zbl 07468589) Full Text: DOI
Maayah, Banan; Yousef, Feras; Arqub, Omar Abu; Momani, Shaher; Alsaedi, Ahmed Computing bifurcations behavior of mixed type singular time-fractional partial integrodifferential equations of Dirichlet functions types in Hilbert space with error analysis. (English) Zbl 1499.35668 Filomat 33, No. 12, 3845-3853 (2019). MSC: 35R11 47B32 PDFBibTeX XMLCite \textit{B. Maayah} et al., Filomat 33, No. 12, 3845--3853 (2019; Zbl 1499.35668) Full Text: DOI
Arqub, Omar Abu; Maayah, Banan Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC fractional Volterra integro-differential equations. (Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – fractional Volterra integro-differential equations.) (English) Zbl 1448.65273 Chaos Solitons Fractals 126, 394-402 (2019). MSC: 65R10 65L03 45J05 34K37 45D05 PDFBibTeX XMLCite \textit{O. A. Arqub} and \textit{B. Maayah}, Chaos Solitons Fractals 126, 394--402 (2019; Zbl 1448.65273) Full Text: DOI
Abu Arqub, Omar; Maayah, Banan Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense. (English) Zbl 1448.65081 Chaos Solitons Fractals 125, 163-170 (2019). MSC: 65L20 34A08 PDFBibTeX XMLCite \textit{O. Abu Arqub} and \textit{B. Maayah}, Chaos Solitons Fractals 125, 163--170 (2019; Zbl 1448.65081) Full Text: DOI
Arqub, Omar Abu; Maayah, Banan Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana-Baleanu fractional operator. (English) Zbl 1442.65449 Chaos Solitons Fractals 117, 117-124 (2018). MSC: 65R20 45J05 47G20 47A53 34A08 PDFBibTeX XMLCite \textit{O. A. Arqub} and \textit{B. Maayah}, Chaos Solitons Fractals 117, 117--124 (2018; Zbl 1442.65449) Full Text: DOI
Momani, Shaher; Arqub, Omar Abu; Maayah, Banan; Yousef, Feras; Alsaedi, Ahmed A reliable algorithm for solving linear and nonlinear Schrödinger equations. (English) Zbl 1426.35101 Appl. Comput. Math. 17, No. 2, 151-160 (2018). MSC: 35J10 30B10 PDFBibTeX XMLCite \textit{S. Momani} et al., Appl. Comput. Math. 17, No. 2, 151--160 (2018; Zbl 1426.35101) Full Text: Link
Maayah, Banan; Bushnaq, Samia; Momani, Shaher; Arqub, Omar Abu Iterative multistep reproducing kernel Hilbert space method for solving strongly nonlinear oscillators. (English) Zbl 1302.65140 Adv. Math. Phys. 2014, Article ID 758195, 7 p. (2014). MSC: 65J10 65C60 65L99 34C15 PDFBibTeX XMLCite \textit{B. Maayah} et al., Adv. Math. Phys. 2014, Article ID 758195, 7 p. (2014; Zbl 1302.65140) Full Text: DOI