Alqudah, Manar A.; Boulares, Hamid; Abdalla, Bahaaeldin; Abdeljawad, Thabet Khasminskii approach for \(\psi\)-Caputo fractional stochastic pantograph problem. (English) Zbl 07815924 Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 100, 14 p. (2024). MSC: 34K20 34K30 34K40 PDFBibTeX XMLCite \textit{M. A. Alqudah} et al., Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 100, 14 p. (2024; Zbl 07815924) Full Text: DOI OA License
Wiśniewolski, Maciej On the probabilistic representations of solutions of pantograph equations and triangle coefficients. (English) Zbl 07791823 J. Differ. Equations 379, 600-625 (2024). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 34K05 34K06 60G55 60J65 PDFBibTeX XMLCite \textit{M. Wiśniewolski}, J. Differ. Equations 379, 600--625 (2024; Zbl 07791823) Full Text: DOI
Thirumalai, Sagithya; Seshadri, Rajeswari; Yuzbasi, Suayip Spectral collocation method based on special functions for solving nonlinear high-order pantograph equations. (English) Zbl 07810166 Comput. Methods Differ. Equ. 11, No. 3, 589-604 (2023). MSC: 65L05 65M99 PDFBibTeX XMLCite \textit{S. Thirumalai} et al., Comput. Methods Differ. Equ. 11, No. 3, 589--604 (2023; Zbl 07810166) Full Text: DOI
Liu, Yarong; Wang, Yejuan; Caraballo, Tomas The asymptotic behavior of solutions for stochastic evolution equations with pantograph delay. (English) Zbl 1527.60049 Stoch. Dyn. 23, No. 6, Article ID 2350042, 36 p. (2023). MSC: 60H15 60G15 35B35 PDFBibTeX XMLCite \textit{Y. Liu} et al., Stoch. Dyn. 23, No. 6, Article ID 2350042, 36 p. (2023; Zbl 1527.60049) Full Text: DOI
Zhang, Changgui Analytical study of the pantograph equation using Jacobi theta functions. (English) Zbl 07761706 J. Approx. Theory 296, Article ID 105974, 21 p. (2023). MSC: 41-XX 42-XX 34K06 34M40 33E30 PDFBibTeX XMLCite \textit{C. Zhang}, J. Approx. Theory 296, Article ID 105974, 21 p. (2023; Zbl 07761706) Full Text: DOI
Alharbi, Weam G. Solution of a differential-difference equation via an ansatz method. (English) Zbl 07727278 Adv. Appl. Discrete Math. 36, 55-68 (2023). MSC: 34K06 PDFBibTeX XMLCite \textit{W. G. Alharbi}, Adv. Appl. Discrete Math. 36, 55--68 (2023; Zbl 07727278) Full Text: DOI
Wu, Fuke; Xi, Fubao; Zhu, Chao On a class of McKean-Vlasov stochastic functional differential equations with applications. (English) Zbl 1517.60069 J. Differ. Equations 371, 31-49 (2023). MSC: 60H10 91A80 34K50 34K05 PDFBibTeX XMLCite \textit{F. Wu} et al., J. Differ. Equations 371, 31--49 (2023; Zbl 1517.60069) Full Text: DOI
Ren, Yong; Li, Jiaying Stability and boundedness analysis of stochastic coupled systems with pantograph delay. (English) Zbl 1519.93227 Int. J. Control 96, No. 6, 1389-1396 (2023). MSC: 93E15 93D23 93C20 PDFBibTeX XMLCite \textit{Y. Ren} and \textit{J. Li}, Int. J. Control 96, No. 6, 1389--1396 (2023; Zbl 1519.93227) Full Text: DOI
Lachouri, Adel; Samei, Mohammad Esmael; Ardjouni, Abdelouaheb Existence and stability analysis for a class of fractional pantograph \(q\)-difference equations with nonlocal boundary conditions. (English) Zbl 1516.39005 Bound. Value Probl. 2023, Paper No. 2, 20 p. (2023). MSC: 39A30 26A33 39A13 05A30 PDFBibTeX XMLCite \textit{A. Lachouri} et al., Bound. Value Probl. 2023, Paper No. 2, 20 p. (2023; Zbl 1516.39005) Full Text: DOI
Behera, S.; Ray, S. Saha A novel numerical scheme based on Müntz-Legendre wavelets for solving pantograph Volterra delay-integro-differential equations. (English) Zbl 1524.65958 Mediterr. J. Math. 20, No. 1, Paper No. 46, 35 p. (2023). MSC: 65R20 45D05 45J05 PDFBibTeX XMLCite \textit{S. Behera} and \textit{S. S. Ray}, Mediterr. J. Math. 20, No. 1, Paper No. 46, 35 p. (2023; Zbl 1524.65958) Full Text: DOI
Sabermahani, Sedigheh; Ordokhani, Yadollah; Razzaghi, Mohsen Ritz-generalized Pell wavelet method: application for two classes of fractional pantograph problems. (English) Zbl 1512.65231 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107138, 17 p. (2023). MSC: 65M70 34A08 49K21 49M27 65T60 PDFBibTeX XMLCite \textit{S. Sabermahani} et al., Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107138, 17 p. (2023; Zbl 1512.65231) Full Text: DOI
Elkot, N. A.; Doha, E. H.; Ameen, I. G.; Hendy, A. S.; Zaky, M. A. A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions. (English) Zbl 07654058 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107017, 14 p. (2023). MSC: 65Lxx 65Mxx 34Kxx PDFBibTeX XMLCite \textit{N. A. Elkot} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107017, 14 p. (2023; Zbl 07654058) Full Text: DOI
Çakmak, Musa Fibonacci collocation method for solving a class of nonlinear pantograph differential equations. (English) Zbl 07812809 Math. Methods Appl. Sci. 45, No. 17, 11962-11976 (2022). MSC: 12E10 34B15 34B40 34B60 PDFBibTeX XMLCite \textit{M. Çakmak}, Math. Methods Appl. Sci. 45, No. 17, 11962--11976 (2022; Zbl 07812809) Full Text: DOI
Singh, Brajesh Kumar; Agrawal, Saloni Study of time fractional proportional delayed multi-pantograph system and integro-differential equations. (English) Zbl 07775991 Math. Methods Appl. Sci. 45, No. 13, 8305-8328 (2022). MSC: 65M99 41A58 34A08 35R09 35R07 35A02 26A33 35R11 35R07 47N20 PDFBibTeX XMLCite \textit{B. K. Singh} and \textit{S. Agrawal}, Math. Methods Appl. Sci. 45, No. 13, 8305--8328 (2022; Zbl 07775991) Full Text: DOI
Azin, Hadis; Heydari, Mohammad Hossein; Mohammadi, Fakhrodin Vieta-Fibonacci wavelets: application in solving fractional pantograph equations. (English) Zbl 1527.34012 Math. Methods Appl. Sci. 45, No. 1, 411-422 (2022). MSC: 34A08 PDFBibTeX XMLCite \textit{H. Azin} et al., Math. Methods Appl. Sci. 45, No. 1, 411--422 (2022; Zbl 1527.34012) Full Text: DOI
Yu, Peilin; Deng, Feiqi; Wan, Fangzhe; Liu, Xiongding \(p\)th moment polynomial input-to-state stability of switched neutral pantograph stochastic hybrid systems with Lévy noise. (English) Zbl 1519.93191 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 15, 3145-3153 (2022). Reviewer: Petro Feketa (Kiel) MSC: 93D25 93E15 93C30 60G51 PDFBibTeX XMLCite \textit{P. Yu} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 15, 3145--3153 (2022; Zbl 1519.93191) Full Text: DOI
Ilavarasi, Ravi; Malar, Kandasamy Existence and uniqueness results of impulsive fractional neutral pantograph integro differential equations with delay. (English) Zbl 07689833 Fract. Differ. Calc. 12, No. 2, 101-114 (2022). MSC: 45-XX PDFBibTeX XMLCite \textit{R. Ilavarasi} and \textit{K. Malar}, Fract. Differ. Calc. 12, No. 2, 101--114 (2022; Zbl 07689833) Full Text: DOI
Gokmen, Elcin; Isik, Osman Raşit A numerical method to solve fractional pantograph differential equations with residual error analysis. (English) Zbl 1510.65138 Math. Sci., Springer 16, No. 4, 361-371 (2022). MSC: 65L05 65L60 34A08 PDFBibTeX XMLCite \textit{E. Gokmen} and \textit{O. R. Isik}, Math. Sci., Springer 16, No. 4, 361--371 (2022; Zbl 1510.65138) Full Text: DOI
Shah, Kamal; Amin, Rohul; Ali, Gauhar; Mlaiki, Nabil; Abdeljawad, Thabet Algorithm for the solution of nonlinear variable-order pantograph fractional integro-differential equations using Haar method. (English) Zbl 1520.65048 Fractals 30, No. 8, Article ID 2240225, 9 p. (2022). MSC: 65L03 65R20 34K37 PDFBibTeX XMLCite \textit{K. Shah} et al., Fractals 30, No. 8, Article ID 2240225, 9 p. (2022; Zbl 1520.65048) Full Text: DOI
Afroz; Hussain, Basharat; Abdullah An efficient Haar wavelet series method to solve higher-order multi-pantograph equations arising in electrodynamics. (English) Zbl 1515.65179 Jordan J. Math. Stat. 15, No. 4A, 787-805 (2022). MSC: 65L03 65L05 65L60 PDFBibTeX XMLCite \textit{Afroz} et al., Jordan J. Math. Stat. 15, No. 4A, 787--805 (2022; Zbl 1515.65179)
Guida, K.; Ibnelazyz, L.; Hilal, K.; Oukessou, M. Qualitative study of a new class of coupled pantograph differential equations involving the \(\psi\)-Hilfer fractional derivative with multi-point boundary conditions. (English) Zbl 1517.34104 Acta Math. Univ. Comen., New Ser. 91, No. 4, 335-350 (2022). Reviewer: Xiping Liu (Shanghai) MSC: 34K37 34K10 47N20 PDFBibTeX XMLCite \textit{K. Guida} et al., Acta Math. Univ. Comen., New Ser. 91, No. 4, 335--350 (2022; Zbl 1517.34104) Full Text: Link
Liu, Yarong; Wang, Yejuan; Caraballo, Tomas Nontrivial equilibrium solutions and general stability for stochastic evolution equations with pantograph delay and tempered fractional noise. (English) Zbl 1500.60038 SIAM J. Math. Anal. 54, No. 5, 5629-5661 (2022). MSC: 60H15 35A02 35B35 60G22 PDFBibTeX XMLCite \textit{Y. Liu} et al., SIAM J. Math. Anal. 54, No. 5, 5629--5661 (2022; Zbl 1500.60038) Full Text: DOI
Zhang, Tian; Gao, Chuanhou Stability with general decay rate of hybrid neutral stochastic pantograph differential equations driven by Lévy noise. (English) Zbl 1498.60249 Discrete Contin. Dyn. Syst., Ser. B 27, No. 7, 3725-3747 (2022). MSC: 60H10 93E15 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{C. Gao}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 7, 3725--3747 (2022; Zbl 1498.60249) Full Text: DOI
Belarbi, Soumia; Dahmani, Zoibir; Sarikaya, Mehmet Zeki A sequential fractional differential problem of pantograph type: existence uniqueness and illustrations. (English) Zbl 1495.34023 Turk. J. Math. 46, No. 2, SI-1, 563-586 (2022). MSC: 34A34 34B10 PDFBibTeX XMLCite \textit{S. Belarbi} et al., Turk. J. Math. 46, No. 2, 563--586 (2022; Zbl 1495.34023) Full Text: DOI
Houas, Mohamed; Martínez, Francisco; Samei, Mohammad Esmael; Kaabar, Mohammed K. A. Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph \(q\)-differential equations. (English) Zbl 1506.34017 J. Inequal. Appl. 2022, Paper No. 93, 24 p. (2022). MSC: 34A08 26A33 47N20 PDFBibTeX XMLCite \textit{M. Houas} et al., J. Inequal. Appl. 2022, Paper No. 93, 24 p. (2022; Zbl 1506.34017) Full Text: DOI
Zheng, Weishan; Chen, Yanping A spectral method for a weakly singular Volterra integro-differential equation with pantograph delay. (English) Zbl 1513.65541 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 1, 387-402 (2022). MSC: 65R20 45J05 45D05 PDFBibTeX XMLCite \textit{W. Zheng} and \textit{Y. Chen}, Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 1, 387--402 (2022; Zbl 1513.65541) Full Text: DOI
Shaldanbayev, A. Sh.; Akylbayev, M. I.; Shomanbayeva, M. T.; Shaldanbayeva, A. A. Criterion for the Volterra property of the Cauchy problem for the pantograph equation. (English. Russian original) Zbl 1506.34081 J. Math. Sci., New York 263, No. 5, 735-740 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 171, 140-145 (2019). Reviewer: Alexandra Rodkina (College Station) MSC: 34K06 34K08 47B02 PDFBibTeX XMLCite \textit{A. Sh. Shaldanbayev} et al., J. Math. Sci., New York 263, No. 5, 735--740 (2022; Zbl 1506.34081); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 171, 140--145 (2019) Full Text: DOI
Gong, Zhaohua; Liu, Chongyang; Teo, Kok Lay; Yi, Xiaopeng Optimal control of nonlinear fractional systems with multiple pantograph-delays. (English) Zbl 1510.49003 Appl. Math. Comput. 425, Article ID 127094, 12 p. (2022). MSC: 49J21 34K37 49M25 49M37 PDFBibTeX XMLCite \textit{Z. Gong} et al., Appl. Math. Comput. 425, Article ID 127094, 12 p. (2022; Zbl 1510.49003) Full Text: DOI
Yang, Xiaochen; Yang, Zhanwen; Xiao, Yu Asymptotical mean-square stability of linear \(\theta\)-methods for stochastic pantograph differential equations: variable stepsize and transformation approach. (English) Zbl 1499.60210 Int. J. Comput. Math. 99, No. 4, 759-770 (2022). MSC: 60H10 34F05 93E03 65C30 PDFBibTeX XMLCite \textit{X. Yang} et al., Int. J. Comput. Math. 99, No. 4, 759--770 (2022; Zbl 1499.60210) Full Text: DOI DOI
Foukrach, Djamal; Bouriah, Soufyane; Benchohra, Mouffak; Karapinar, Erdal Some new results for \(\psi\)-Hilfer fractional pantograph-type differential equation depending on \(\psi\)-Riemann-Liouville integral. (English) Zbl 1483.34013 J. Anal. 30, No. 1, 195-219 (2022). MSC: 34A08 34A12 34B40 45J05 PDFBibTeX XMLCite \textit{D. Foukrach} et al., J. Anal. 30, No. 1, 195--219 (2022; Zbl 1483.34013) Full Text: DOI
Behera, S.; Saha Ray, S. An efficient numerical method based on Euler wavelets for solving fractional order pantograph Volterra delay-integro-differential equations. (English) Zbl 1491.65054 J. Comput. Appl. Math. 406, Article ID 113825, 23 p. (2022). MSC: 65L03 45D05 65L60 65R20 45J05 PDFBibTeX XMLCite \textit{S. Behera} and \textit{S. Saha Ray}, J. Comput. Appl. Math. 406, Article ID 113825, 23 p. (2022; Zbl 1491.65054) Full Text: DOI
Houas, M. Solvability and stability of neutral Caputo-Hadamard fractional pantograph-type differential equations. (English) Zbl 07648818 Acta Univ. Apulensis, Math. Inform. 68, 83-98 (2021). MSC: 34-XX 26A33 34B15 PDFBibTeX XMLCite \textit{M. Houas}, Acta Univ. Apulensis, Math. Inform. 68, 83--98 (2021; Zbl 07648818)
Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Guirao, Juan L. G.; Saeed, Tareq Meyer wavelet neural networks to solve a novel design of fractional order pantograph Lane-Emden differential model. (English) Zbl 1503.65152 Chaos Solitons Fractals 152, Article ID 111404, 14 p. (2021). MSC: 65L10 68T07 34A08 PDFBibTeX XMLCite \textit{Z. Sabir} et al., Chaos Solitons Fractals 152, Article ID 111404, 14 p. (2021; Zbl 1503.65152) Full Text: DOI
Thabet, Sabri T. M.; Etemad, Sina; Rezapour, Shahram On a coupled Caputo conformable system of pantograph problems. (English) Zbl 1493.34032 Turk. J. Math. 45, No. 1, 496-519 (2021). MSC: 34A08 34A12 PDFBibTeX XMLCite \textit{S. T. M. Thabet} et al., Turk. J. Math. 45, No. 1, 496--519 (2021; Zbl 1493.34032) Full Text: DOI
Jafari, H.; Mahmoudi, M.; Noori Skandari, M. H. A new numerical method to solve pantograph delay differential equations with convergence analysis. (English) Zbl 1494.65050 Adv. Difference Equ. 2021, Paper No. 129, 12 p. (2021). MSC: 65L03 65L60 65L20 PDFBibTeX XMLCite \textit{H. Jafari} et al., Adv. Difference Equ. 2021, Paper No. 129, 12 p. (2021; Zbl 1494.65050) Full Text: DOI
Caraballo, Tomás; Belfeki, Mohsen; Mchiri, Lassaad; Rhaima, Mohamed \(h\)-stability in \(p\)th moment of neutral pantograph stochastic differential equations with Markovian switching driven by Lévy noise. (English) Zbl 1498.60203 Chaos Solitons Fractals 151, Article ID 111249, 11 p. (2021). MSC: 60H10 34K20 34K50 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Chaos Solitons Fractals 151, Article ID 111249, 11 p. (2021; Zbl 1498.60203) Full Text: DOI
Abdo, Mohammed S.; Abdeljawad, Thabet; Kucche, Kishor D.; Alqudah, Manar A.; Ali, Saeed M.; Jeelani, Mdi Begum On nonlinear pantograph fractional differential equations with Atangana-Baleanu-Caputo derivative. (English) Zbl 1487.34146 Adv. Difference Equ. 2021, Paper No. 65, 17 p. (2021). MSC: 34K37 34B10 34K20 PDFBibTeX XMLCite \textit{M. S. Abdo} et al., Adv. Difference Equ. 2021, Paper No. 65, 17 p. (2021; Zbl 1487.34146) Full Text: DOI
Ali, Arshad; Mahariq, Ibrahim; Shah, Kamal; Abdeljawad, Thabet; Al-Sheikh, Bahaa Stability analysis of initial value problem of pantograph-type implicit fractional differential equations with impulsive conditions. (English) Zbl 1487.34148 Adv. Difference Equ. 2021, Paper No. 55, 17 p. (2021). MSC: 34K37 34K20 26A33 PDFBibTeX XMLCite \textit{A. Ali} et al., Adv. Difference Equ. 2021, Paper No. 55, 17 p. (2021; Zbl 1487.34148) Full Text: DOI
Guida, Karim; Ibnelazyz, Lahcen; Hilal, Khalid; Melliani, Said Existence and uniqueness results for sequential \(\psi\)-Hilfer fractional pantograph differential equations with mixed nonlocal boundary conditions. (English) Zbl 1485.34036 AIMS Math. 6, No. 8, 8239-8255 (2021). MSC: 34A08 34B10 34A12 34B15 PDFBibTeX XMLCite \textit{K. Guida} et al., AIMS Math. 6, No. 8, 8239--8255 (2021; Zbl 1485.34036) Full Text: DOI
Ahmed, Idris; Kumam, Poom; Tariboon, Jessada; Ibrahim, Alhassan; Borisut, Piyachat; Demba, Musa Ahmed Generalized nonlocal boundary condition for fractional pantograph differential equation via Hilfer fractional derivative. (English) Zbl 1513.34295 J. Nonlinear Anal. Optim. 12, No. 2, 45-60 (2021). MSC: 34K37 34K10 34K27 47N20 PDFBibTeX XMLCite \textit{I. Ahmed} et al., J. Nonlinear Anal. Optim. 12, No. 2, 45--60 (2021; Zbl 1513.34295)
Ahmad, Israr; Amin, Rohul; Abdeljawad, Thabet; Shah, Kamal A numerical method for fractional pantograph delay integro-differential equations on Haar wavelet. (English) Zbl 1485.65073 Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 28, 13 p. (2021). MSC: 65L03 65L60 65T60 34K37 PDFBibTeX XMLCite \textit{I. Ahmad} et al., Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 28, 13 p. (2021; Zbl 1485.65073) Full Text: DOI
Youssri, Y. H.; Abd-Elhameed, W. M.; Mohamed, A. S.; Sayed, S. M. Generalized Lucas polynomial sequence treatment of fractional pantograph differential equation. (English) Zbl 1513.65260 Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 27, 16 p. (2021). MSC: 65L60 11B39 34K07 34K37 PDFBibTeX XMLCite \textit{Y. H. Youssri} et al., Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 27, 16 p. (2021; Zbl 1513.65260) Full Text: DOI
Radhakrishnan, B.; Tamilarasi, M. Existence, uniqueness and stability results for fractional hybrid pantograph equation with random impulse. (English) Zbl 1479.34014 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 28, No. 3, 165-181 (2021). MSC: 34A08 34A37 34A38 34D20 PDFBibTeX XMLCite \textit{B. Radhakrishnan} and \textit{M. Tamilarasi}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 28, No. 3, 165--181 (2021; Zbl 1479.34014) Full Text: Link
Borisut, Piyachat; Auipa-arch, Chaiwat Positive solution of boundary value problem involving fractional pantograph differential equation. (English) Zbl 1515.34011 Thai J. Math. 19, No. 3, 1056-1067 (2021). MSC: 34A08 34B10 34B18 47H10 PDFBibTeX XMLCite \textit{P. Borisut} and \textit{C. Auipa-arch}, Thai J. Math. 19, No. 3, 1056--1067 (2021; Zbl 1515.34011) Full Text: Link
Sabir, Zulqurnain; Baleanu, Dumitru; Raja, Muhammad Asif Zahoor; Guirao, Juan L. G. Design of neuro-swarming heuristic solver for multi-pantograph singular delay differential equation. (English) Zbl 1481.65098 Fractals 29, No. 5, Article ID 2140022, 16 p. (2021). MSC: 65L03 34K10 65L05 68T07 PDFBibTeX XMLCite \textit{Z. Sabir} et al., Fractals 29, No. 5, Article ID 2140022, 16 p. (2021; Zbl 1481.65098) Full Text: DOI
Afshari, Hojjat; Marasi, H. R.; Alzabut, Jehad Applications of new contraction mappings on existence and uniqueness results for implicit \(\phi\)-Hilfer fractional pantograph differential equations. (English) Zbl 1504.34005 J. Inequal. Appl. 2021, Paper No. 185, 14 p. (2021). MSC: 34A08 26A33 54H25 54E40 45J05 PDFBibTeX XMLCite \textit{H. Afshari} et al., J. Inequal. Appl. 2021, Paper No. 185, 14 p. (2021; Zbl 1504.34005) Full Text: DOI
Thota, Srinivasarao; Datt Kumar, Shiv A symbolic method for finding approximate solution of neutral functional-differential equations with proportional delays. (English) Zbl 1488.65163 Jordan J. Math. Stat. 14, No. 4, 671-689 (2021). MSC: 65L03 34K40 PDFBibTeX XMLCite \textit{S. Thota} and \textit{S. Datt Kumar}, Jordan J. Math. Stat. 14, No. 4, 671--689 (2021; Zbl 1488.65163)
Izadi, Mohammad; Srivastava, H. M. An efficient approximation technique applied to a non-linear Lane-Emden pantograph delay differential model. (English) Zbl 1508.65073 Appl. Math. Comput. 401, Article ID 126123, 11 p. (2021). MSC: 65L03 34K07 PDFBibTeX XMLCite \textit{M. Izadi} and \textit{H. M. Srivastava}, Appl. Math. Comput. 401, Article ID 126123, 11 p. (2021; Zbl 1508.65073) Full Text: DOI
Song, Yinfang; Zeng, Zhigang; Zhang, Tao The \(p\)th moment asymptotical ultimate boundedness of pantograph stochastic differential equations with time-varying coefficients. (English) Zbl 1484.34182 Appl. Math. Lett. 121, Article ID 107449, 7 p. (2021). Reviewer: Xiaohu Wang (Chengdu) MSC: 34K50 34K12 34K20 PDFBibTeX XMLCite \textit{Y. Song} et al., Appl. Math. Lett. 121, Article ID 107449, 7 p. (2021; Zbl 1484.34182) Full Text: DOI
Hashemi, M. S.; Ashpazzadeh, E.; Moharrami, M.; Lakestani, M. Fractional order Alpert multiwavelets for discretizing delay fractional differential equation of pantograph type. (English) Zbl 1482.65102 Appl. Numer. Math. 170, 1-13 (2021). MSC: 65L03 34K37 PDFBibTeX XMLCite \textit{M. S. Hashemi} et al., Appl. Numer. Math. 170, 1--13 (2021; Zbl 1482.65102) Full Text: DOI
Caraballo, Tomás; Mchiri, Lassaad; Mohsen, Belfeki; Rhaima, Mohamed \(p\)th moment exponential stability of neutral stochastic pantograph differential equations with Markovian switching. (English) Zbl 1470.60148 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105916, 19 p. (2021). MSC: 60H10 34D20 34F05 60J27 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105916, 19 p. (2021; Zbl 1470.60148) Full Text: DOI
Shapira, Asaf; Tyomkyn, Mykhaylo Quasirandom graphs and the pantograph equation. (English) Zbl 1476.05181 Am. Math. Mon. 128, No. 7, 630-639 (2021). Reviewer: Nikolaos Fountoulakis (Birmingham) MSC: 05C80 05C35 30D20 34K20 05C75 PDFBibTeX XMLCite \textit{A. Shapira} and \textit{M. Tyomkyn}, Am. Math. Mon. 128, No. 7, 630--639 (2021; Zbl 1476.05181) Full Text: DOI arXiv
Yuttanan, Boonrod; Razzaghi, Mohsen; Vo, Thieu N. A fractional-order generalized Taylor wavelet method for nonlinear fractional delay and nonlinear fractional pantograph differential equations. (English) Zbl 1512.65117 Math. Methods Appl. Sci. 44, No. 5, 4156-4175 (2021). MSC: 65L03 34K37 42C40 65L60 65T60 PDFBibTeX XMLCite \textit{B. Yuttanan} et al., Math. Methods Appl. Sci. 44, No. 5, 4156--4175 (2021; Zbl 1512.65117) Full Text: DOI
Kutoyants, Yury A. On multi-step estimation of delay for SDE. (English) Zbl 1472.34141 Bernoulli 27, No. 3, 2069-2090 (2021). MSC: 34K50 93E10 PDFBibTeX XMLCite \textit{Y. A. Kutoyants}, Bernoulli 27, No. 3, 2069--2090 (2021; Zbl 1472.34141) Full Text: DOI arXiv
Ali, Gauhar; Shah, Kamal; ur Rahman, Ghaus Investigating a class of pantograph differential equations under multi-points boundary conditions with fractional order. (English) Zbl 1469.34104 Int. J. Appl. Comput. Math. 7, No. 1, Paper No. 2, 13 p. (2021). MSC: 34K37 34K10 34K27 47N20 PDFBibTeX XMLCite \textit{G. Ali} et al., Int. J. Appl. Comput. Math. 7, No. 1, Paper No. 2, 13 p. (2021; Zbl 1469.34104) Full Text: DOI
Pelyukh, G. P.; Bel’skii, D. V. Asymptotic behavior of the solutions of functional-differential equation with linearly transformed argument. (English. Russian original) Zbl 1462.34101 J. Math. Sci., New York 253, No. 2, 263-275 (2021); translation from Neliniĭni Kolyvannya 22, No. 3, 369-379 (2019). Reviewer: Josef Diblík (Brno) MSC: 34K25 34K06 34K40 PDFBibTeX XMLCite \textit{G. P. Pelyukh} and \textit{D. V. Bel'skii}, J. Math. Sci., New York 253, No. 2, 263--275 (2021; Zbl 1462.34101); translation from Neliniĭni Kolyvannya 22, No. 3, 369--379 (2019) Full Text: DOI
Alsuyuti, M. M.; Doha, E. H.; Ezz-Eldien, S. S.; Youssef, I. K. Spectral Galerkin schemes for a class of multi-order fractional pantograph equations. (English) Zbl 1456.65129 J. Comput. Appl. Math. 384, Article ID 113157, 21 p. (2021). MSC: 65M70 65N30 65M12 65M15 35C10 42C10 35R11 PDFBibTeX XMLCite \textit{M. M. Alsuyuti} et al., J. Comput. Appl. Math. 384, Article ID 113157, 21 p. (2021; Zbl 1456.65129) Full Text: DOI
Xu, Liguang; Hu, Hongxiao Boundedness analysis of stochastic pantograph differential systems. (English) Zbl 1466.60124 Appl. Math. Lett. 111, Article ID 106630, 7 p. (2021). MSC: 60H10 34K20 34K50 PDFBibTeX XMLCite \textit{L. Xu} and \textit{H. Hu}, Appl. Math. Lett. 111, Article ID 106630, 7 p. (2021; Zbl 1466.60124) Full Text: DOI
Ezz-Eldien, S. S.; Wang, Y.; Abdelkawy, M. A.; Zaky, M. A.; Aldraiweesh, A. A.; Machado, J. Tenreiro Chebyshev spectral methods for multi-order fractional neutral pantograph equations. (English) Zbl 1516.34016 Nonlinear Dyn. 100, No. 4, 3785-3797 (2020). MSC: 34A08 34K37 PDFBibTeX XMLCite \textit{S. S. Ezz-Eldien} et al., Nonlinear Dyn. 100, No. 4, 3785--3797 (2020; Zbl 1516.34016) Full Text: DOI
Moosavi Noori, Seyyedeh Roodabeh; Taghizadeh, Nasir Modified differential transform method for solving linear and nonlinear pantograph type of differential and Volterra integro-differential equations with proportional delays. (English) Zbl 1487.65200 Adv. Difference Equ. 2020, Paper No. 649, 25 p. (2020). MSC: 65R20 45D05 44A10 PDFBibTeX XMLCite \textit{S. R. Moosavi Noori} and \textit{N. Taghizadeh}, Adv. Difference Equ. 2020, Paper No. 649, 25 p. (2020; Zbl 1487.65200) Full Text: DOI
Thabet, Sabri T. M.; Etemad, Sina; Rezapour, Shahram On a new structure of the pantograph inclusion problem in the Caputo conformable setting. (English) Zbl 1496.34121 Bound. Value Probl. 2020, Paper No. 171, 20 p. (2020). MSC: 34K37 34K09 34K10 PDFBibTeX XMLCite \textit{S. T. M. Thabet} et al., Bound. Value Probl. 2020, Paper No. 171, 20 p. (2020; Zbl 1496.34121) Full Text: DOI
Yuan, Haiyan; Song, Cheng Convergence and stability of exponential integrators for semi-linear stochastic pantograph integro-differential equations with jump. (English) Zbl 1495.65013 Chaos Solitons Fractals 140, Article ID 110172, 19 p. (2020). MSC: 65C30 60H10 60H35 65L20 65L06 PDFBibTeX XMLCite \textit{H. Yuan} and \textit{C. Song}, Chaos Solitons Fractals 140, Article ID 110172, 19 p. (2020; Zbl 1495.65013) Full Text: DOI
Ahmed, Idris; Kumam, Poom; Abdeljawad, Thabet; Jarad, Fahd; Borisut, Piyachat; Demba, Musa Ahmed; Kumam, Wiyada Existence and uniqueness results for \(\Phi\)-Caputo implicit fractional pantograph differential equation with generalized anti-periodic boundary condition. (English) Zbl 1486.34147 Adv. Difference Equ. 2020, Paper No. 555, 18 p. (2020). MSC: 34K37 34K13 26A33 47N20 34B15 PDFBibTeX XMLCite \textit{I. Ahmed} et al., Adv. Difference Equ. 2020, Paper No. 555, 18 p. (2020; Zbl 1486.34147) Full Text: DOI
Ahmed, Idris; Kumam, Poom; Abubakar, Jamilu; Borisut, Piyachat; Sitthithakerngkiet, Kanokwan Solutions for impulsive fractional pantograph differential equation via generalized anti-periodic boundary condition. (English) Zbl 1486.34148 Adv. Difference Equ. 2020, Paper No. 477, 15 p. (2020). MSC: 34K37 34K11 47N20 PDFBibTeX XMLCite \textit{I. Ahmed} et al., Adv. Difference Equ. 2020, Paper No. 477, 15 p. (2020; Zbl 1486.34148) Full Text: DOI
Rayal, Ashish; Ram Verma, Sag Numerical analysis of pantograph differential equation of the stretched type associated with fractal-fractional derivatives via fractional order Legendre wavelets. (English) Zbl 1490.65129 Chaos Solitons Fractals 139, Article ID 110076, 18 p. (2020). MSC: 65L03 34K37 PDFBibTeX XMLCite \textit{A. Rayal} and \textit{S. Ram Verma}, Chaos Solitons Fractals 139, Article ID 110076, 18 p. (2020; Zbl 1490.65129) Full Text: DOI
Eriqat, Tareq; El-Ajou, Ahmad; Oqielat, Moa’ath N.; Al-Zhour, Zeyad; Momani, Shaher A new attractive analytic approach for solutions of linear and nonlinear neutral fractional pantograph equations. (English) Zbl 1490.34096 Chaos Solitons Fractals 138, Article ID 109957, 11 p. (2020). MSC: 34K37 26A33 44A10 PDFBibTeX XMLCite \textit{T. Eriqat} et al., Chaos Solitons Fractals 138, Article ID 109957, 11 p. (2020; Zbl 1490.34096) Full Text: DOI
Wongcharoen, Athasit; Ntouyas, Sotiris K.; Tariboon, Jessada Nonlocal boundary value problems for Hilfer-type pantograph fractional differential equations and inclusions. (English) Zbl 1482.34038 Adv. Difference Equ. 2020, Paper No. 279, 21 p. (2020). MSC: 34A08 34B10 26A33 47H10 47N20 PDFBibTeX XMLCite \textit{A. Wongcharoen} et al., Adv. Difference Equ. 2020, Paper No. 279, 21 p. (2020; Zbl 1482.34038) Full Text: DOI
Ali, Arshad; Shah, Kamal; Abdeljawad, Thabet Study of implicit delay fractional differential equations under anti-periodic boundary conditions. (English) Zbl 1482.34014 Adv. Difference Equ. 2020, Paper No. 139, 16 p. (2020). MSC: 34A08 34K37 26A33 39B82 PDFBibTeX XMLCite \textit{A. Ali} et al., Adv. Difference Equ. 2020, Paper No. 139, 16 p. (2020; Zbl 1482.34014) Full Text: DOI
Ghaderi, Najmeh; Farahi, Mohammad Hadi The numerical solution of some optimal control systems with constant and pantograph delays via Bernstein polynomials. (English) Zbl 1477.49048 Iran. J. Math. Sci. Inform. 15, No. 2, 163-181 (2020). MSC: 49M37 34K05 33C47 90C30 PDFBibTeX XMLCite \textit{N. Ghaderi} and \textit{M. H. Farahi}, Iran. J. Math. Sci. Inform. 15, No. 2, 163--181 (2020; Zbl 1477.49048) Full Text: Link
Jiang, Kun; Huang, Qiumei; Xu, Xiuxiu Discontinuous Galerkin methods for multi-pantograph delay differential equations. (English) Zbl 1488.65159 Adv. Appl. Math. Mech. 12, No. 1, 189-211 (2020). MSC: 65L03 65L60 65L20 PDFBibTeX XMLCite \textit{K. Jiang} et al., Adv. Appl. Math. Mech. 12, No. 1, 189--211 (2020; Zbl 1488.65159) Full Text: DOI
Houas, M. Existence and Ulam stability of fractional pantograph differential equations with two Caputo-Hadamard derivatives. (English) Zbl 1488.34424 Acta Univ. Apulensis, Math. Inform. 63, 35-49 (2020). MSC: 34K37 26A33 34K27 PDFBibTeX XMLCite \textit{M. Houas}, Acta Univ. Apulensis, Math. Inform. 63, 35--49 (2020; Zbl 1488.34424)
Koshkin, Sergiy; Rocha, Ivan Caustics of light rays and Euler’s angle of inclination. (English) Zbl 1468.53004 PUMP J. Undergrad. Res. 3, 205-225 (2020). Reviewer: Ergin Bayram (Samsun) MSC: 53A04 78A05 34K06 PDFBibTeX XMLCite \textit{S. Koshkin} and \textit{I. Rocha}, PUMP J. Undergrad. Res. 3, 205--225 (2020; Zbl 1468.53004) Full Text: Link
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen Numerical technique for solving fractional generalized pantograph-delay differential equations by using fractional-order hybrid Bessel functions. (English) Zbl 1461.65200 Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 9, 27 p. (2020). MSC: 65L03 34K37 PDFBibTeX XMLCite \textit{H. Dehestani} et al., Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 9, 27 p. (2020; Zbl 1461.65200) Full Text: DOI
Hashemi, M. S.; Atangana, A.; Hajikhah, S. Solving fractional pantograph delay equations by an effective computational method. (English) Zbl 1510.65130 Math. Comput. Simul. 177, 295-305 (2020). MSC: 65L03 34K37 65L20 PDFBibTeX XMLCite \textit{M. S. Hashemi} et al., Math. Comput. Simul. 177, 295--305 (2020; Zbl 1510.65130) Full Text: DOI
Li, Dongfang; Zhang, Chengjian Long time numerical behaviors of fractional pantograph equations. (English) Zbl 1482.34189 Math. Comput. Simul. 172, 244-257 (2020). MSC: 34K37 65L03 65L05 65L07 65L12 65L20 PDFBibTeX XMLCite \textit{D. Li} and \textit{C. Zhang}, Math. Comput. Simul. 172, 244--257 (2020; Zbl 1482.34189) Full Text: DOI
Bilal, M.; Rosli, N.; Mohd, Jamil N.; Ahmad, I. Numerical solution of fractional pantograph differential equation via fractional Taylor series collocation method. (English) Zbl 1459.65098 Malays. J. Math. Sci. 14, Spec. Iss.: 2nd International Conference on Applied & Industrial Mathematics and Statistics 2019 (ICoAIMS 2019), 155-169 (2020). MSC: 65L03 34K37 PDFBibTeX XMLCite \textit{M. Bilal} et al., Malays. J. Math. Sci. 14, 155--169 (2020; Zbl 1459.65098) Full Text: Link
Ismail, N. I. N.; Majid, Z. A.; Senu, N. Solving neutral delay differential equation of pantograph type. (English) Zbl 1459.65099 Malays. J. Math. Sci. 14, Spec. Iss.: 2nd International Conference on Applied & Industrial Mathematics and Statistics 2019 (ICoAIMS 2019), 107-121 (2020). MSC: 65L03 65L06 PDFBibTeX XMLCite \textit{N. I. N. Ismail} et al., Malays. J. Math. Sci. 14, 107--121 (2020; Zbl 1459.65099) Full Text: Link
Ahmad, Israr; Nieto, Juan Jose; Rahman, Ghaus ur; Shah, Kamal Existence and stability for fractional order pantograph equations with nonlocal conditions. (English) Zbl 1461.34088 Electron. J. Differ. Equ. 2020, Paper No. 132, 16 p. (2020). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 34K37 34K10 34K20 47N20 PDFBibTeX XMLCite \textit{I. Ahmad} et al., Electron. J. Differ. Equ. 2020, Paper No. 132, 16 p. (2020; Zbl 1461.34088) Full Text: Link
Wang, Linjun; Zhang, Lu Numerical calculation method for a class of fractional pantograph delay differential equations. (Chinese. English summary) Zbl 1463.65208 J. Jilin Univ., Sci. 58, No. 3, 486-492 (2020). MSC: 65L60 PDFBibTeX XMLCite \textit{L. Wang} and \textit{L. Zhang}, J. Jilin Univ., Sci. 58, No. 3, 486--492 (2020; Zbl 1463.65208) Full Text: DOI
Vivek, D.; Elsayed, E. M.; Kanagarajan, K. Existence and Ulam stability results for a class of boundary value problem of neutral pantograph equations with complex order. (English) Zbl 1476.34165 S\(\vec{\text{e}}\)MA J. 77, No. 3, 243-256 (2020). Reviewer: Hakan Adıgüzel (Serdivan) MSC: 34K37 34K27 34K10 34K40 26A33 PDFBibTeX XMLCite \textit{D. Vivek} et al., S\(\vec{\text{e}}\)MA J. 77, No. 3, 243--256 (2020; Zbl 1476.34165) Full Text: DOI
Thota, Srinivasarao; Shanmugasundaram, P. On a symbolic method for neutral functional-differential equations with proportional delays. (English) Zbl 1486.65090 Cogent Math. Stat. 7, Article ID 1813961, 13 p. (2020). MSC: 65L99 34K40 PDFBibTeX XMLCite \textit{S. Thota} and \textit{P. Shanmugasundaram}, Cogent Math. Stat. 7, Article ID 1813961, 13 p. (2020; Zbl 1486.65090) Full Text: DOI
Yüzbaşi, Şuayip; Karaçayir, Murat Galerkin-like method for solving linear functional differential equations under initial conditions. (English) Zbl 1450.65073 Turk. J. Math. 44, No. 1, 85-97 (2020). MSC: 65L60 65L03 34K06 65L70 PDFBibTeX XMLCite \textit{Ş. Yüzbaşi} and \textit{M. Karaçayir}, Turk. J. Math. 44, No. 1, 85--97 (2020; Zbl 1450.65073) Full Text: Link
Hou, Chih-Chun; Simos, Theodore E.; Famelis, Ioannis Th. Neural network solution of pantograph type differential equations. (English) Zbl 1453.65165 Math. Methods Appl. Sci. 43, No. 6, 3369-3374 (2020). MSC: 65L06 65L99 68T05 68Q32 PDFBibTeX XMLCite \textit{C.-C. Hou} et al., Math. Methods Appl. Sci. 43, No. 6, 3369--3374 (2020; Zbl 1453.65165) Full Text: DOI
Mao, Wei; Hu, Liangjian; Mao, Xuerong Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay. (English) Zbl 1443.60064 Discrete Contin. Dyn. Syst., Ser. B 25, No. 8, 3217-3232 (2020). MSC: 60H10 93E15 PDFBibTeX XMLCite \textit{W. Mao} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 8, 3217--3232 (2020; Zbl 1443.60064) Full Text: DOI
Mao, Wei; Hu, Liangjian; Mao, Xuerong The asymptotic stability of hybrid stochastic systems with pantograph delay and non-Gaussian Lévy noise. (English) Zbl 1429.93407 J. Franklin Inst. 357, No. 2, 1174-1198 (2020). MSC: 93E15 93D20 93C30 34K50 60H10 93C43 PDFBibTeX XMLCite \textit{W. Mao} et al., J. Franklin Inst. 357, No. 2, 1174--1198 (2020; Zbl 1429.93407) Full Text: DOI Link
Ebrahimi, H.; Sadri, K. An operational approach for solving fractional pantograph differential equation. (English) Zbl 1522.65133 Iran. J. Numer. Anal. Optim. 9, No. 1, 37-68 (2019). MSC: 65L60 34A08 PDFBibTeX XMLCite \textit{H. Ebrahimi} and \textit{K. Sadri}, Iran. J. Numer. Anal. Optim. 9, No. 1, 37--68 (2019; Zbl 1522.65133) Full Text: DOI
Wang, Li-Ping; Chen, Yi-Ming; Liu, Da-Yan; Boutat, Driss Numerical algorithm to solve generalized fractional pantograph equations with variable coefficients based on shifted Chebyshev polynomials. (English) Zbl 1513.65211 Int. J. Comput. Math. 96, No. 12, 2487-2510 (2019). MSC: 65L03 34K37 65L05 65L70 PDFBibTeX XMLCite \textit{L.-P. Wang} et al., Int. J. Comput. Math. 96, No. 12, 2487--2510 (2019; Zbl 1513.65211) Full Text: DOI HAL
Vivek, D.; Kanagarajan, K.; Harikrishnan, S. Dynamics and stability results for nonlinear neutral pantograph equations via Hilfer-Hadamard fractional derivative. (English) Zbl 1458.34136 Discontin. Nonlinearity Complex. 8, No. 1, 37-48 (2019). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 34K37 34K40 34K27 47N20 PDFBibTeX XMLCite \textit{D. Vivek} et al., Discontin. Nonlinearity Complex. 8, No. 1, 37--48 (2019; Zbl 1458.34136) Full Text: DOI
Vivek, D.; Sivasundaram, Seenith; Kanagarajan, K. Studies on continuous dependence solutions for pantograph equations with \(\psi\)-Hilfer fractional derivative. (English) Zbl 1510.34177 Nonlinear Stud. 26, No. 4, 929-938 (2019). MSC: 34K37 34K05 47N20 PDFBibTeX XMLCite \textit{D. Vivek} et al., Nonlinear Stud. 26, No. 4, 929--938 (2019; Zbl 1510.34177) Full Text: Link
Zhan, Weijun; Gao, Yan; Guo, Qian; Yao, Xiaofeng The partially truncated Euler-Maruyama method for nonlinear pantograph stochastic differential equations. (English) Zbl 1428.60087 Appl. Math. Comput. 346, 109-126 (2019). MSC: 60H10 34F05 60H35 65C30 PDFBibTeX XMLCite \textit{W. Zhan} et al., Appl. Math. Comput. 346, 109--126 (2019; Zbl 1428.60087) Full Text: DOI
Berezansky, Leonid; Braverman, Elena On stability of linear neutral differential equations in the Hale form. (English) Zbl 1428.34099 Appl. Math. Comput. 340, 63-71 (2019). MSC: 34K20 34K06 34K40 45J05 PDFBibTeX XMLCite \textit{L. Berezansky} and \textit{E. Braverman}, Appl. Math. Comput. 340, 63--71 (2019; Zbl 1428.34099) Full Text: DOI arXiv
Mao, Wei; Hu, Liangjian; Mao, Xuerong Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching. (English) Zbl 1438.60077 Electron. J. Qual. Theory Differ. Equ. 2019, Paper No. 52, 17 p. (2019). MSC: 60H10 93E15 PDFBibTeX XMLCite \textit{W. Mao} et al., Electron. J. Qual. Theory Differ. Equ. 2019, Paper No. 52, 17 p. (2019; Zbl 1438.60077) Full Text: DOI
Bica, Alexandru Mihai; Curila, Mircea; Curila, Sorin Spline iterative method for pantograph type functional differential equations. (English) Zbl 1434.65100 Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 159-166 (2019). MSC: 65L60 65L05 65L20 PDFBibTeX XMLCite \textit{A. M. Bica} et al., Lect. Notes Comput. Sci. 11386, 159--166 (2019; Zbl 1434.65100) Full Text: DOI
Hu, Lanying; Ren, Yong; He, Qian Pantograph stochastic differential equations driven by \(G\)-Brownian motion. (English) Zbl 1479.60113 J. Math. Anal. Appl. 480, No. 1, Article ID 123381, 11 p. (2019). MSC: 60H10 60H30 PDFBibTeX XMLCite \textit{L. Hu} et al., J. Math. Anal. Appl. 480, No. 1, Article ID 123381, 11 p. (2019; Zbl 1479.60113) Full Text: DOI
Cheng, Shengmin; Shi, Banban Exponential stability of numerical solutions for neutral stochastic pantograph differential equations. (English) Zbl 1438.65140 Math. Appl. 32, No. 2, 432-442 (2019). MSC: 65L03 34K40 34K50 65L20 PDFBibTeX XMLCite \textit{S. Cheng} and \textit{B. Shi}, Math. Appl. 32, No. 2, 432--442 (2019; Zbl 1438.65140)
Yang, Yin; Tohidi, Emran Numerical solution of multi-pantograph delay boundary value problems via an efficient approach with the convergence analysis. (English) Zbl 1438.65258 Comput. Appl. Math. 38, No. 3, Paper No. 127, 14 p. (2019). MSC: 65M70 34B05 33C45 41A55 41A25 65D32 65M12 42C10 35R07 35Q92 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{E. Tohidi}, Comput. Appl. Math. 38, No. 3, Paper No. 127, 14 p. (2019; Zbl 1438.65258) Full Text: DOI
Yang, Huizi; Yang, Zhanwen; Wang, Pengyue; Han, Dandan Mean-square stability analysis for nonlinear stochastic pantograph equations by transformation approach. (English) Zbl 1428.34125 J. Math. Anal. Appl. 479, No. 1, 977-986 (2019). Reviewer: Yong-Kui Chang (Xi’an) MSC: 34K50 34K20 PDFBibTeX XMLCite \textit{H. Yang} et al., J. Math. Anal. Appl. 479, No. 1, 977--986 (2019; Zbl 1428.34125) Full Text: DOI
Pue-on, Prapart Solving a system of MPEs by modified power series method. (English) Zbl 1416.34048 Int. J. Math. Comput. Sci. 14, No. 3, 713-728 (2019). MSC: 34K07 34K28 PDFBibTeX XMLCite \textit{P. Pue-on}, Int. J. Math. Comput. Sci. 14, No. 3, 713--728 (2019; Zbl 1416.34048) Full Text: Link
Ezz-Eldien, S. S.; Doha, E. H. Fast and precise spectral method for solving pantograph type Volterra integro-differential equations. (English) Zbl 1447.65014 Numer. Algorithms 81, No. 1, 57-77 (2019). Reviewer: Kai Diethelm (Schweinfurt) MSC: 65L60 33C45 45J05 PDFBibTeX XMLCite \textit{S. S. Ezz-Eldien} and \textit{E. H. Doha}, Numer. Algorithms 81, No. 1, 57--77 (2019; Zbl 1447.65014) Full Text: DOI
Ansari, H.; Mokhtary, P. Computational Legendre tau method for Volterra Hammerstein pantograph integral equations. (English) Zbl 1411.65161 Bull. Iran. Math. Soc. 45, No. 2, 475-493 (2019). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{H. Ansari} and \textit{P. Mokhtary}, Bull. Iran. Math. Soc. 45, No. 2, 475--493 (2019; Zbl 1411.65161) Full Text: DOI