Sweilam, N. H.; Nagy, A. M.; Assiri, T. A.; Ali, N. Y. Numerical simulations for variable-order fractional nonlinear delay differential equations. (English) Zbl 1499.65263 J. Fract. Calc. Appl. 6, No. 1, 71-82 (2015). MSC: 65L03 34K37 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., J. Fract. Calc. Appl. 6, No. 1, 71--82 (2015; Zbl 1499.65263) Full Text: Link
Sierociuk, Dominik; Malesza, Wiktor; Macias, Michal Derivation, interpretation, and analog modelling of fractional variable order derivative definition. (English) Zbl 1443.26003 Appl. Math. Modelling 39, No. 13, 3876-3888 (2015). MSC: 26A33 PDFBibTeX XMLCite \textit{D. Sierociuk} et al., Appl. Math. Modelling 39, No. 13, 3876--3888 (2015; Zbl 1443.26003) Full Text: DOI arXiv
Zayernouri, Mohsen; Karniadakis, George Em Fractional spectral collocation methods for linear and nonlinear variable order FPDEs. (English) Zbl 1349.65531 J. Comput. Phys. 293, 312-338 (2015). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{M. Zayernouri} and \textit{G. E. Karniadakis}, J. Comput. Phys. 293, 312--338 (2015; Zbl 1349.65531) Full Text: DOI
Zhao, Xuan; Sun, Zhi-zhong; Karniadakis, George Em Second-order approximations for variable order fractional derivatives: algorithms and applications. (English) Zbl 1349.65092 J. Comput. Phys. 293, 184-200 (2015). MSC: 65D25 35R11 65M70 PDFBibTeX XMLCite \textit{X. Zhao} et al., J. Comput. Phys. 293, 184--200 (2015; Zbl 1349.65092) Full Text: DOI
Atangana, Abdon On the stability and convergence of the time-fractional variable order telegraph equation. (English) Zbl 1349.65263 J. Comput. Phys. 293, 104-114 (2015). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{A. Atangana}, J. Comput. Phys. 293, 104--114 (2015; Zbl 1349.65263) Full Text: DOI
Sierociuk, Dominik; Malesza, Wiktor; Macias, Michal On the recursive fractional variable-order derivative: equivalent switching strategy, duality, and analog modeling. (English) Zbl 1342.94132 Circuits Syst. Signal Process. 34, No. 4, 1077-1113 (2015). MSC: 94C05 26A33 PDFBibTeX XMLCite \textit{D. Sierociuk} et al., Circuits Syst. Signal Process. 34, No. 4, 1077--1113 (2015; Zbl 1342.94132) Full Text: DOI
Bondarenko, Natalia Inverse problems for the differential operator on the graph with a cycle with different orders on different edges. (English) Zbl 1338.34045 Tamkang J. Math. 46, No. 3, 229-243 (2015). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34L05 47E05 34B45 PDFBibTeX XMLCite \textit{N. Bondarenko}, Tamkang J. Math. 46, No. 3, 229--243 (2015; Zbl 1338.34045) Full Text: DOI arXiv
Yurko, Vjacheslav A. Inverse problems for variable order differential operators with regular singularities on graphs. (English) Zbl 1355.34043 J. Inverse Ill-Posed Probl. 23, No. 6, 647-656 (2015). Reviewer: Sonja Currie (Wits) MSC: 34A55 34B45 PDFBibTeX XMLCite \textit{V. A. Yurko}, J. Inverse Ill-Posed Probl. 23, No. 6, 647--656 (2015; Zbl 1355.34043) Full Text: DOI arXiv
Atangana, Abdon; Goufo, Emile Franc Doungmo A model of the groundwater flowing within a leaky aquifer using the concept of local variable order derivative. (English) Zbl 1330.76128 J. Nonlinear Sci. Appl. 8, No. 5, 763-775 (2015). MSC: 76S05 PDFBibTeX XMLCite \textit{A. Atangana} and \textit{E. F. D. Goufo}, J. Nonlinear Sci. Appl. 8, No. 5, 763--775 (2015; Zbl 1330.76128) Full Text: DOI Link
Krainer, Thomas; Mendoza, Gerardo A. Boundary value problems for elliptic wedge operators: the first-order case. (English) Zbl 1329.35138 Escher, Joachim (ed.) et al., Elliptic and parabolic equations. Selected papers based on the presentations at the workshop, Hannover, Germany, September 10–12, 2013. Cham: Springer (ISBN 978-3-319-12546-6/hbk; 978-3-319-12547-3/ebook). Springer Proceedings in Mathematics & Statistics 119, 209-232 (2015). Reviewer: Lubomira Softova (Aversa) MSC: 35J40 35J60 PDFBibTeX XMLCite \textit{T. Krainer} and \textit{G. A. Mendoza}, Springer Proc. Math. Stat. 119, 209--232 (2015; Zbl 1329.35138) Full Text: DOI arXiv
Bhrawy, A. H.; Zaky, M. A. Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation. (English) Zbl 1345.65060 Nonlinear Dyn. 80, No. 1-2, 101-116 (2015). MSC: 65M70 92B20 65M15 35R11 PDFBibTeX XMLCite \textit{A. H. Bhrawy} and \textit{M. A. Zaky}, Nonlinear Dyn. 80, No. 1--2, 101--116 (2015; Zbl 1345.65060) Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Musielak-Orlicz-Sobolev spaces on metric measure spaces. (English) Zbl 1363.46027 Czech. Math. J. 65, No. 2, 435-474 (2015). Reviewer: René L. Schilling (Dresden) MSC: 46E35 46E30 31B15 30L99 PDFBibTeX XMLCite \textit{T. Ohno} and \textit{T. Shimomura}, Czech. Math. J. 65, No. 2, 435--474 (2015; Zbl 1363.46027) Full Text: DOI Link
Chen, Yi-Ming; Wei, Yan-Qiao; Liu, Da-Yan; Yu, Hao Numerical solution for a class of nonlinear variable order fractional differential equations with Legendre wavelets. (English) Zbl 1329.65172 Appl. Math. Lett. 46, 83-88 (2015). MSC: 65L60 34A08 65T60 PDFBibTeX XMLCite \textit{Y.-M. Chen} et al., Appl. Math. Lett. 46, 83--88 (2015; Zbl 1329.65172) Full Text: DOI
Karol’, A. I. Asymptotic behavior of the spectrum of pseudodifferential operators of variable order. (English. Russian original) Zbl 1342.47063 J. Math. Sci., New York 207, No. 2, 236-248 (2015); translation from Probl. Mat. Anal. 78, 111-121 (2015). Reviewer: Bojan Prangoski (Skopje) MSC: 47G30 35P20 PDFBibTeX XMLCite \textit{A. I. Karol'}, J. Math. Sci., New York 207, No. 2, 236--248 (2015; Zbl 1342.47063); translation from Probl. Mat. Anal. 78, 111--121 (2015) Full Text: DOI
Shen, S.; Liu, Fawang; Liu, Q.; Anh, Vo V. Numerical simulation of anomalous infiltration in porous media. (English) Zbl 1310.76121 Numer. Algorithms 68, No. 3, 443-454 (2015). MSC: 76M20 76S05 65M06 PDFBibTeX XMLCite \textit{S. Shen} et al., Numer. Algorithms 68, No. 3, 443--454 (2015; Zbl 1310.76121) Full Text: DOI Link