Zayed, Elsayed M. E.; El-Horbaty, Mahmoud; Gepreel, Khaled A. Dispersive optical soliton solutions in birefringent fibers with stochastic Kaup-Newell equation having multiplicative white noise. (English) Zbl 07822433 Math. Methods Appl. Sci. 47, No. 1, 352-370 (2024). MSC: 35A24 PDFBibTeX XMLCite \textit{E. M. E. Zayed} et al., Math. Methods Appl. Sci. 47, No. 1, 352--370 (2024; Zbl 07822433) Full Text: DOI
Mahdy, A. M. S.; Gepreel, K. A.; Lotfy, Kh.; El-Bary, A. Reduced differential transform and Sumudu transform methods for solving fractional financial models of awareness. (English) Zbl 07754472 Appl. Math., Ser. B (Engl. Ed.) 38, No. 3, 338-356 (2023). MSC: 41A28 65D05 65H10 65L20 65P30 65P40 65Z05 PDFBibTeX XMLCite \textit{A. M. S. Mahdy} et al., Appl. Math., Ser. B (Engl. Ed.) 38, No. 3, 338--356 (2023; Zbl 07754472) Full Text: DOI
He, Ji-Huan; Jiao, Man-Li; Gepreel, Khaled A.; Khan, Yasir Homotopy perturbation method for strongly nonlinear oscillators. (English) Zbl 07619060 Math. Comput. Simul. 204, 243-258 (2023). MSC: 65-XX 34-XX PDFBibTeX XMLCite \textit{J.-H. He} et al., Math. Comput. Simul. 204, 243--258 (2023; Zbl 07619060) Full Text: DOI
He, Chun-Hui; Liu, Chao; He, Ji-Huan; Sedighi, H. M.; Shokri, A.; Gepreel, K. A. A fractal model for the internal temperature response of a porous concrete. (English) Zbl 07601677 Appl. Comput. Math. 21, No. 1, 71-77 (2022). MSC: 80Axx 28A80 35K05 74A40 97M10 PDFBibTeX XMLCite \textit{C.-H. He} et al., Appl. Comput. Math. 21, No. 1, 71--77 (2022; Zbl 07601677) Full Text: Link
He, Chun-Hui; Liu, Chao; He, Ji-Huan; Gepreel, Khaled A. Low frequency property of a fractal vibration model for a concrete beam. (English) Zbl 1482.74083 Fractals 29, No. 5, Article ID 2150117, 7 p. (2021). MSC: 74H45 74K10 74F10 74H10 28A80 PDFBibTeX XMLCite \textit{C.-H. He} et al., Fractals 29, No. 5, Article ID 2150117, 7 p. (2021; Zbl 1482.74083) Full Text: DOI
Habib, Siddra; Batool, Amreen; Islam, Asad; Nadeem, Muhammad; Gepreel, Khaled A.; He, Ji-Huan Study of nonlinear Hirota-Satsuma coupled KdV and coupled mKdV system with time fractional derivative. (English) Zbl 07465629 Fractals 29, No. 5, Article ID 2150108, 14 p. (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Habib} et al., Fractals 29, No. 5, Article ID 2150108, 14 p. (2021; Zbl 07465629) Full Text: DOI
He, Ji-Huan; Kou, Shuai-Jia; He, Chun-Hui; Zhang, Zuo-Wei; Gepreel, Khaled A. Fractal oscillation and its frequency-amplitude property. (English) Zbl 1489.34014 Fractals 29, No. 4, Article ID 2150105, 9 p. (2021). MSC: 34A08 34C15 34B30 34C25 34D05 PDFBibTeX XMLCite \textit{J.-H. He} et al., Fractals 29, No. 4, Article ID 2150105, 9 p. (2021; Zbl 1489.34014) Full Text: DOI
Al Qurashi, Maysaa; Rashid, Saima; Sultana, Sobia; Ahmad, Hijaz; Gepreel, Khaled A. New formulation for discrete dynamical type inequalities via \(h\)-discrete fractional operator pertaining to nonsingular kernel. (English) Zbl 1476.26014 Math. Biosci. Eng. 18, No. 2, 1794-1812 (2021). MSC: 26D15 26A33 33E12 PDFBibTeX XMLCite \textit{M. Al Qurashi} et al., Math. Biosci. Eng. 18, No. 2, 1794--1812 (2021; Zbl 1476.26014) Full Text: DOI
Alam, Md. Khorshed; Hossain, Md. Dulal; Akbar, M. Ali; Gepreel, Khaled A. Determination of the rich structural wave dynamic solutions to the Caudrey-Dodd-Gibbon equation and the Lax equation. (English) Zbl 1471.35083 Lett. Math. Phys. 111, No. 4, Paper No. 103, 19 p. (2021). MSC: 35C08 35Q53 35R35 47J35 PDFBibTeX XMLCite \textit{Md. K. Alam} et al., Lett. Math. Phys. 111, No. 4, Paper No. 103, 19 p. (2021; Zbl 1471.35083) Full Text: DOI
Mahdy, A. M. S.; Mohamed, M. S.; Gepreel, K. A.; AL-Amiri, A.; Higazy, M. Dynamical characteristics and signal flow graph of nonlinear fractional smoking mathematical model. (English) Zbl 1496.92035 Chaos Solitons Fractals 141, Article ID 110308, 14 p. (2020). MSC: 92C50 34A08 34C60 65D05 65H10 65L20 65P30 65P40 PDFBibTeX XMLCite \textit{A. M. S. Mahdy} et al., Chaos Solitons Fractals 141, Article ID 110308, 14 p. (2020; Zbl 1496.92035) Full Text: DOI
Gepreel, Khaled A.; Nofal, Taher A.; Al-Asmari, Amera A. Abundant travelling wave solutions for nonlinear Kawahara partial differential equation using extended trial equation method. (English) Zbl 1499.35535 Int. J. Comput. Math. 96, No. 7, 1357-1376 (2019). MSC: 35Q53 35C07 PDFBibTeX XMLCite \textit{K. A. Gepreel} et al., Int. J. Comput. Math. 96, No. 7, 1357--1376 (2019; Zbl 1499.35535) Full Text: DOI
Al-Shawba, Altaf A.; Abdullah, Farah A.; Gepreel, Khaled A.; Azmi, Amirah Solitary and periodic wave solutions of higher-dimensional conformable time-fractional differential equations using the \(( \frac{G'}{G},\frac{1}{G} ) \)-expansion method. (English) Zbl 1448.35537 Adv. Difference Equ. 2018, Paper No. 362, 15 p. (2018). MSC: 35R11 26A33 35Q53 PDFBibTeX XMLCite \textit{A. A. Al-Shawba} et al., Adv. Difference Equ. 2018, Paper No. 362, 15 p. (2018; Zbl 1448.35537) Full Text: DOI
Gepreel, Khaled A.; Nofal, Taher A.; Alasmari, Ameara A. Exact solutions for nonlinear integro-partial differential equations using the generalized Kudryashov method. (English) Zbl 1398.35195 J. Egypt. Math. Soc. 25, No. 4, 438-444 (2017). MSC: 35Q53 35C07 35C08 35R09 37K10 PDFBibTeX XMLCite \textit{K. A. Gepreel} et al., J. Egypt. Math. Soc. 25, No. 4, 438--444 (2017; Zbl 1398.35195) Full Text: DOI
Mohamed, Mohamed S.; Gepreel, Khaled A. Reduced differential transform method for nonlinear integral member of Kadomtsev-Petviashvili hierarchy differential equations. (English) Zbl 1387.35534 J. Egypt. Math. Soc. 25, No. 1, 1-7 (2017). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{M. S. Mohamed} and \textit{K. A. Gepreel}, J. Egypt. Math. Soc. 25, No. 1, 1--7 (2017; Zbl 1387.35534) Full Text: DOI
Omran, Saleh; Gepreel, Khaled A. Parametric septic spline solution for some ordinary differential equations occurring in plate deflection theory. (English) Zbl 1394.74205 Int. J. Nonlinear Sci. 21, No. 2, 67-79 (2016). MSC: 74S30 65L60 65D07 74K20 PDFBibTeX XMLCite \textit{S. Omran} and \textit{K. A. Gepreel}, Int. J. Nonlinear Sci. 21, No. 2, 67--79 (2016; Zbl 1394.74205)
Gepreel, Khaled A.; Nofal, Taher A. Optimal homotopy analysis method for nonlinear partial fractional differential equations. (English) Zbl 1407.35211 Math. Sci., Springer 9, No. 1, 47-55 (2015). MSC: 35R11 65M99 34A35 PDFBibTeX XMLCite \textit{K. A. Gepreel} and \textit{T. A. Nofal}, Math. Sci., Springer 9, No. 1, 47--55 (2015; Zbl 1407.35211) Full Text: DOI
Mohamed, Mohamed S.; Gepreel, Khaled A.; Al-Malki, Faisal A.; Al-Humyani, Maha Approximate solutions of the generalized Abel’s integral equations using the extension Khan’s homotopy analysis transformation method. (English) Zbl 1343.65149 J. Appl. Math. 2015, Article ID 357861, 9 p. (2015). MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{M. S. Mohamed} et al., J. Appl. Math. 2015, Article ID 357861, 9 p. (2015; Zbl 1343.65149) Full Text: DOI
Mohamed, Mohamed S.; Gepreel, Khaled A.; Al-Malki, Faisal A.; Altalhi, Nouf Extension of Khan’s homotopy transformation method via optimal parameter for differential difference equations. (English) Zbl 1442.65320 J. Appl. Math. 2014, Article ID 813474, 8 p. (2014). MSC: 65M99 PDFBibTeX XMLCite \textit{M. S. Mohamed} et al., J. Appl. Math. 2014, Article ID 813474, 8 p. (2014; Zbl 1442.65320) Full Text: DOI
Gepreel, Khaled A.; Nofal, Taher A.; Alotaibi, Fawziah M. Numerical solutions for the time and space fractional nonlinear partial differential equations. (English) Zbl 1397.35334 J. Appl. Math. 2013, Article ID 482419, 12 p. (2013). MSC: 35R11 65M22 35C05 PDFBibTeX XMLCite \textit{K. A. Gepreel} et al., J. Appl. Math. 2013, Article ID 482419, 12 p. (2013; Zbl 1397.35334) Full Text: DOI
Gepreel, Khaled A.; Nofal, Taher A.; Alotaibi, Fawziah M. Exact solutions for nonlinear differential difference equations in mathematical physics. (English) Zbl 1282.39011 Abstr. Appl. Anal. 2013, Article ID 756896, 10 p. (2013). MSC: 39A14 35C08 35Q55 PDFBibTeX XMLCite \textit{K. A. Gepreel} et al., Abstr. Appl. Anal. 2013, Article ID 756896, 10 p. (2013; Zbl 1282.39011) Full Text: DOI
Gepreel, Khaled A.; Abo-Dahab, S. M.; Nofal, T. A. Homotopy perturbation method and variational iteration method for harmonic waves propagation in nonlinear magneto-thermoelasticity with rotation. (English) Zbl 1264.74281 Math. Probl. Eng. 2012, Article ID 827901, 30 p. (2012). MSC: 74S30 74H10 74F05 74F15 PDFBibTeX XMLCite \textit{K. A. Gepreel} et al., Math. Probl. Eng. 2012, Article ID 827901, 30 p. (2012; Zbl 1264.74281) Full Text: DOI
Gepreel, Khaled A.; Nofal, Taher A.; Al-Thobaiti, Ali A. The modified rational Jacobi elliptic functions method for nonlinear differential difference equations. (English) Zbl 1269.34004 J. Appl. Math. 2012, Article ID 427479, 30 p. (2012). MSC: 34A05 34K33 PDFBibTeX XMLCite \textit{K. A. Gepreel} et al., J. Appl. Math. 2012, Article ID 427479, 30 p. (2012; Zbl 1269.34004) Full Text: DOI
Herzallah, Mohamed A. E.; Gepreel, Khaled A. Approximate solution to the time-space fractional cubic nonlinear Schrödinger equation. (English) Zbl 1254.65115 Appl. Math. Modelling 36, No. 11, 5678-5685 (2012). MSC: 65M99 35Q55 35R11 PDFBibTeX XMLCite \textit{M. A. E. Herzallah} and \textit{K. A. Gepreel}, Appl. Math. Modelling 36, No. 11, 5678--5685 (2012; Zbl 1254.65115) Full Text: DOI
Omran, Saleh; Gepreel, Khaled A. Separation of the Helmholtz partial differential equation in Hilbert space. (English) Zbl 1387.35126 Adv. Stud. Theor. Phys. 6, No. 9-12, 399-410 (2012). MSC: 35J05 35A01 35A02 35R20 PDFBibTeX XMLCite \textit{S. Omran} and \textit{K. A. Gepreel}, Adv. Stud. Theor. Phys. 6, No. 9--12, 399--410 (2012; Zbl 1387.35126) Full Text: Link
Hemida, K. M.; Gepreel, K. A.; Mohamed, M. S. Analytical approximate solution to the time-space nonlinear partial fractional differential equations. (English) Zbl 1247.65110 Int. J. Pure Appl. Math. 78, No. 2, 233-244 (2012). MSC: 65L99 34A08 PDFBibTeX XMLCite \textit{K. M. Hemida} et al., Int. J. Pure Appl. Math. 78, No. 2, 233--244 (2012; Zbl 1247.65110) Full Text: Link
Gepreel, Khaled A.; Shehata, A. R. Rational Jacobi elliptic solutions for nonlinear differential-difference lattice equations. (English) Zbl 1252.34013 Appl. Math. Lett. 25, No. 9, 1173-1178 (2012). MSC: 34A33 34A05 PDFBibTeX XMLCite \textit{K. A. Gepreel} and \textit{A. R. Shehata}, Appl. Math. Lett. 25, No. 9, 1173--1178 (2012; Zbl 1252.34013) Full Text: DOI
Gepreel, Khaled A.; Shehata, A. R. Jacobi elliptic solutions for nonlinear differential difference equations in mathematical physics. (English) Zbl 1244.39004 J. Appl. Math. 2012, Article ID 710375, 15 p. (2012). MSC: 39A12 PDFBibTeX XMLCite \textit{K. A. Gepreel} and \textit{A. R. Shehata}, J. Appl. Math. 2012, Article ID 710375, 15 p. (2012; Zbl 1244.39004) Full Text: DOI
Elagan, Sayed K.; Omran, Saleh; Gepreel, Khaled A. Q-operation in strong semilatticess of monoids. (English) Zbl 1301.06016 Ann. Fuzzy Math. Inform. 1, No. 2, 145-151 (2011). MSC: 06A12 20M10 PDFBibTeX XMLCite \textit{S. K. Elagan} et al., Ann. Fuzzy Math. Inform. 1, No. 2, 145--151 (2011; Zbl 1301.06016) Full Text: Link
Omran, Saleh; Gepreel, Khaled A.; Nofal, Emad Taher A. Separation of the general differential wave equation in Hilbert space. (English) Zbl 1321.47103 Int. J. Nonlinear Sci. 11, No. 3, 358-365 (2011). MSC: 47F05 35L90 PDFBibTeX XMLCite \textit{S. Omran} et al., Int. J. Nonlinear Sci. 11, No. 3, 358--365 (2011; Zbl 1321.47103)
Zayed, E. M. E.; Gepreel, Khaled A. A series of complexiton soliton solutions for nonlinear Jaulent-Miodek PDEs using the Riccati equations method. (English) Zbl 1231.35037 Proc. R. Soc. Edinb., Sect. A, Math. 141, No. 5, 1001-1015 (2011). Reviewer: Igor Andrianov (Köln) MSC: 35C08 35Q51 35C10 PDFBibTeX XMLCite \textit{E. M. E. Zayed} and \textit{K. A. Gepreel}, Proc. R. Soc. Edinb., Sect. A, Math. 141, No. 5, 1001--1015 (2011; Zbl 1231.35037) Full Text: DOI
Zayed, E. M. E.; Gepreel, K. A. New applications of an improved \((G'/G)\)-expansion method to construct the exact solutions of nonlinear PDEs. (English) Zbl 1401.35020 Int. J. Nonlinear Sci. Numer. Simul. 11, No. 4, 273-284 (2010). MSC: 35C08 35Q53 35A25 PDFBibTeX XMLCite \textit{E. M. E. Zayed} and \textit{K. A. Gepreel}, Int. J. Nonlinear Sci. Numer. Simul. 11, No. 4, 273--284 (2010; Zbl 1401.35020) Full Text: DOI
Zayed, E. M. E.; Gepreel, Khaled A. Three types of traveling wave solutions for nonlinear evolution equations using the \((\frac{G'}{G})\)-expansion method. (English) Zbl 1394.35455 Int. J. Nonlinear Sci. 7, No. 4, 501-512 (2009). MSC: 35Q53 35C07 PDFBibTeX XMLCite \textit{E. M. E. Zayed} and \textit{K. A. Gepreel}, Int. J. Nonlinear Sci. 7, No. 4, 501--512 (2009; Zbl 1394.35455)
Zayed, E. M. E.; Gepreel, Khaled A.; El Horbaty, M. M. Extended proposed algorithm with symbolic computation to construct exact solutions for some nonlinear differential equations. (English) Zbl 1197.35256 Chaos Solitons Fractals 40, No. 1, 436-452 (2009). MSC: 35Q53 35-04 PDFBibTeX XMLCite \textit{E. M. E. Zayed} et al., Chaos Solitons Fractals 40, No. 1, 436--452 (2009; Zbl 1197.35256) Full Text: DOI
Zayed, E. M. E.; Nofal, T. A.; Gepreel, K. A. The travelling wave solutions for non-linear initial-value problems using the homotopy perturbation method. (English) Zbl 1167.35493 Appl. Anal. 88, No. 4, 617-634 (2009). MSC: 35Q53 35C05 35B20 PDFBibTeX XMLCite \textit{E. M. E. Zayed} et al., Appl. Anal. 88, No. 4, 617--634 (2009; Zbl 1167.35493) Full Text: DOI
Zayed, E. M. E.; Nofal, T. A.; Gepreel, Khaled A. On using the homotopy perturbation methods for finding the travelling wave solutions of generalized nonlinear Hirota-Satsuma coupled KdV equations. (English) Zbl 1176.35164 Int. J. Nonlinear Sci. 7, No. 2, 159-166 (2009). MSC: 35Q53 35C07 35B20 35A21 PDFBibTeX XMLCite \textit{E. M. E. Zayed} et al., Int. J. Nonlinear Sci. 7, No. 2, 159--166 (2009; Zbl 1176.35164)
Zayed, E. M. E.; Gepreel, Khaled A. Some applications of the \((\frac{G'}{G})\)-expansion method to non-linear partial differential equations. (English) Zbl 1166.65386 Appl. Math. Comput. 212, No. 1, 1-13 (2009). MSC: 65M70 35Q51 PDFBibTeX XMLCite \textit{E. M. E. Zayed} and \textit{K. A. Gepreel}, Appl. Math. Comput. 212, No. 1, 1--13 (2009; Zbl 1166.65386) Full Text: DOI
Zayed, Elsayed M. E.; Nofal, Taher A.; Gepreel, Khaled A. A series of complexiton soliton solutions for non-linear Hirota-Satsuma equations using the generalized multiple Riccati equations rational expansion method. (English) Zbl 1149.35401 Appl. Anal. 87, No. 9, 987-1003 (2008). MSC: 35Q53 35Q51 PDFBibTeX XMLCite \textit{E. M. E. Zayed} et al., Appl. Anal. 87, No. 9, 987--1003 (2008; Zbl 1149.35401) Full Text: DOI
Zayed, E. M. E.; Nofal, T. A.; Gepreel, K. A. Homotopy perturbation and Adomian decomposition methods for solving nonlinear Boussinesq equations. (English) Zbl 1343.65127 Commun. Appl. Nonlinear Anal. 15, No. 3, 57-70 (2008). MSC: 65M99 35B20 35Q53 PDFBibTeX XMLCite \textit{E. M. E. Zayed} et al., Commun. Appl. Nonlinear Anal. 15, No. 3, 57--70 (2008; Zbl 1343.65127)
Zayed, E. M. E.; Gepreel, Khaled A.; El Horbaty, M. M. Exact solutions for some non-linear differential equations using complex hyperbolic function methods. (English) Zbl 1166.35317 Appl. Anal. 87, No. 5, 509-522 (2008). MSC: 35G20 35P05 35Q53 35Q55 35C05 PDFBibTeX XMLCite \textit{E. M. E. Zayed} et al., Appl. Anal. 87, No. 5, 509--522 (2008; Zbl 1166.35317) Full Text: DOI
Zayed, E. M. E.; Abourabia, A. M.; Gepreel, Khaled A.; El Horbaty, M. M. Travelling solitary wave solutions for the nonlinear coupled Korteweg-de Vries system. (English) Zbl 1151.35422 Chaos Solitons Fractals 34, No. 2, 292-306 (2007). MSC: 35Q53 35Q51 PDFBibTeX XMLCite \textit{E. M. E. Zayed} et al., Chaos Solitons Fractals 34, No. 2, 292--306 (2007; Zbl 1151.35422) Full Text: DOI
Zayed, E. M. E.; Abourabia, A. M.; Gepreel, Khaled A.; Horbaty, M. M. El On the rational solitary wave solutions for the nonlinear Hirota-Satsuma coupled KdV system. (English) Zbl 1106.35088 Appl. Anal. 85, No. 6-7, 751-768 (2006). MSC: 35Q53 37K20 35C05 PDFBibTeX XMLCite \textit{E. M. E. Zayed} et al., Appl. Anal. 85, No. 6--7, 751--768 (2006; Zbl 1106.35088) Full Text: DOI
Zayed, E. M. E.; Zedan, H. A.; Gepreel, K. A. A modified extended method to find a series of exact solutions for a system of complex coupled KdV equations. (English) Zbl 1081.35100 Appl. Anal. 84, No. 5, 523-542 (2005). MSC: 35Q53 37K40 35C05 PDFBibTeX XMLCite \textit{E. M. E. Zayed} et al., Appl. Anal. 84, No. 5, 523--542 (2005; Zbl 1081.35100) Full Text: DOI
Zayed, E. M. E.; Zedan, Hassan A.; Gepreel, Khaled A. Group analysis and modified extended tanh-function to find the invariant solutions and soliton solutions for nonlinear Euler equations. (English) Zbl 1401.35014 Int. J. Nonlinear Sci. Numer. Simul. 5, No. 3, 221-234 (2004). MSC: 35C07 35A30 35Q31 PDFBibTeX XMLCite \textit{E. M. E. Zayed} et al., Int. J. Nonlinear Sci. Numer. Simul. 5, No. 3, 221--234 (2004; Zbl 1401.35014) Full Text: DOI
Zayed, E. M. E.; Zedan, Hassan A.; Gepreel, Khaled A. On solitary wave solutions for nonlinear Euler equations. (English) Zbl 1061.35072 Appl. Anal. 83, No. 11, 1101-1132 (2004). MSC: 35Q05 37K40 35-04 35P05 PDFBibTeX XMLCite \textit{E. M. E. Zayed} et al., Appl. Anal. 83, No. 11, 1101--1132 (2004; Zbl 1061.35072) Full Text: DOI
Zayed, E. M. E.; Zedan, H. A.; Gepreel, K. A. On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV equations. (English) Zbl 1069.35080 Chaos Solitons Fractals 22, No. 2, 285-303 (2004). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{E. M. E. Zayed} et al., Chaos Solitons Fractals 22, No. 2, 285--303 (2004; Zbl 1069.35080) Full Text: DOI