Alquran, Marwan; Jaradat, Imad; Ali, Mohammed; Abu Aljazar, Ahlam Computational scheme for the time-fractional reaction-diffusion Brusselator model. (English) Zbl 1472.65133 Int. J. Appl. Comput. Math. 6, No. 5, Paper No. 141, 9 p. (2020). MSC: 65M99 26A33 35F25 35C10 80A32 35Q79 35R11 PDFBibTeX XMLCite \textit{M. Alquran} et al., Int. J. Appl. Comput. Math. 6, No. 5, Paper No. 141, 9 p. (2020; Zbl 1472.65133) Full Text: DOI
Ali, Mohammed; Alquran, Marwan; Jaradat, Imad Asymptotic-sequentially solution style for the generalized Caputo time-fractional Newell-Whitehead-Segel system. (English) Zbl 1458.35442 Adv. Difference Equ. 2019, Paper No. 70, 9 p. (2019). MSC: 35R11 26A33 41A58 45J05 35C10 PDFBibTeX XMLCite \textit{M. Ali} et al., Adv. Difference Equ. 2019, Paper No. 70, 9 p. (2019; Zbl 1458.35442) Full Text: DOI
Jaradat, Imad; Alquran, Marwan; Abdel-Muhsen, Ruwa An analytical framework of 2D diffusion, wave-like, telegraph, and Burgers’ models with twofold Caputo derivatives ordering. (English) Zbl 1400.35220 Nonlinear Dyn. 93, No. 4, 1911-1922 (2018). MSC: 35R11 41A58 35C10 PDFBibTeX XMLCite \textit{I. Jaradat} et al., Nonlinear Dyn. 93, No. 4, 1911--1922 (2018; Zbl 1400.35220) Full Text: DOI
Jaradat, A.; Noorani, M. S. M.; Alquran, M.; Jaradat, H. M. A novel method for solving Caputo-time-fractional dispersive long wave Wu-Zhang system. (English) Zbl 1403.35316 Nonlinear Dyn. Syst. Theory 18, No. 2, 182-190 (2018). MSC: 35R11 35F25 35C10 PDFBibTeX XMLCite \textit{A. Jaradat} et al., Nonlinear Dyn. Syst. Theory 18, No. 2, 182--190 (2018; Zbl 1403.35316)
Alquran, Marwan; Jaradat, Imad; Sivasundaram, Seenith Elegant scheme for solving Caputo-time-fractional integro-differential equations. (English) Zbl 1398.45005 Nonlinear Stud. 25, No. 2, 385-393 (2018). MSC: 45J05 26A33 PDFBibTeX XMLCite \textit{M. Alquran} et al., Nonlinear Stud. 25, No. 2, 385--393 (2018; Zbl 1398.45005) Full Text: Link
Alquran, Marwan; Jaradat, Imad A novel scheme for solving Caputo time-fractional nonlinear equations: theory and application. (English) Zbl 1392.35327 Nonlinear Dyn. 91, No. 4, 2389-2395 (2018). MSC: 35R11 35A35 35C10 PDFBibTeX XMLCite \textit{M. Alquran} and \textit{I. Jaradat}, Nonlinear Dyn. 91, No. 4, 2389--2395 (2018; Zbl 1392.35327) Full Text: DOI
Alquran, Marwan; Al-Khaled, Kamel; Ali, Mohammed; Arqub, Omar Abu Bifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV system. (English) Zbl 1431.35148 Waves Wavelets Fractals, Adv. Anal. 3, 31-39 (2017). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{M. Alquran} et al., Waves Wavelets Fractals, Adv. Anal. 3, 31--39 (2017; Zbl 1431.35148) Full Text: DOI
Alquran, Marwan; Jaradat, H. M.; Syam, Muhammed I. Analytical solution of the time-fractional Phi-4 equation by using modified residual power series method. (English) Zbl 1394.35541 Nonlinear Dyn. 90, No. 4, 2525-2529 (2017). MSC: 35R11 35C10 35Q40 PDFBibTeX XMLCite \textit{M. Alquran} et al., Nonlinear Dyn. 90, No. 4, 2525--2529 (2017; Zbl 1394.35541) Full Text: DOI
Ababneh, Faisal; Alquran, Marwan; Al-Khaled, Kamel; Chattopadhyay, Joydev A new and elegant approach for solving \(n\times n\)-order linear fractional differential equations. (English) Zbl 1369.34008 Mediterr. J. Math. 14, No. 2, Paper No. 98, 18 p. (2017). MSC: 34A08 34A30 34A25 PDFBibTeX XMLCite \textit{F. Ababneh} et al., Mediterr. J. Math. 14, No. 2, Paper No. 98, 18 p. (2017; Zbl 1369.34008) Full Text: DOI
Alquran, Marwan; Al-Khaled, Kamel; Sivasundaram, Seenith; Jaradat, H. M. Mathematical and numerical study of existence of bifurcations of the generalized fractional Burgers-Huxley equation. (English) Zbl 1362.35036 Nonlinear Stud. 24, No. 1, 235-244 (2017). MSC: 35B32 35R11 35L05 26A33 41A58 PDFBibTeX XMLCite \textit{M. Alquran} et al., Nonlinear Stud. 24, No. 1, 235--244 (2017; Zbl 1362.35036) Full Text: Link
Alquran, Marwan Analytical solution of time-fractional two-component evolutionary system of order 2 by residual power series method. (English) Zbl 1447.35111 J. Appl. Anal. Comput. 5, No. 4, 589-599 (2015). MSC: 35C10 35R11 26A33 35F25 PDFBibTeX XMLCite \textit{M. Alquran}, J. Appl. Anal. Comput. 5, No. 4, 589--599 (2015; Zbl 1447.35111) Full Text: DOI
Alquran, Marwan; Al-Khaled, Kamel; Sardar, Tridip; Chattopadhyay, Joydev Revisited Fisher’s equation in a new outlook: a fractional derivative approach. (English) Zbl 1400.35216 Physica A 438, 81-93 (2015). MSC: 35R11 35A35 35K20 PDFBibTeX XMLCite \textit{M. Alquran} et al., Physica A 438, 81--93 (2015; Zbl 1400.35216) Full Text: DOI
Alquran, Marwan Analytical solutions of fractional foam drainage equation by residual power series method. (English) Zbl 1405.35243 Math. Sci., Springer 8, No. 4, 153-160 (2014). MSC: 35R11 26A33 35C10 PDFBibTeX XMLCite \textit{M. Alquran}, Math. Sci., Springer 8, No. 4, 153--160 (2014; Zbl 1405.35243) Full Text: DOI