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Ablowitz, M. J.; Clarkson, P. A. Solitons, nonlinear evolution equations and inverse scattering. (English) Zbl 0762.35001 London Mathematical Society Lecture Note Series. 149. Cambridge (UK) etc.: Cambridge University Press. xii, 516 p. (1991). Reviewer: Y.P.Mishev (Sofia) MSC: 35-01 35Q51 37J35 37K10 35Q53 58J72 35Q15 35Q58 35R30 35Q55 35P25 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{P. A. Clarkson}, Solitons, nonlinear evolution equations and inverse scattering. Cambridge (UK) etc.: Cambridge University Press (1991; Zbl 0762.35001)
Ablowitz, Mark J.; Segur, Harvey Solitons and the inverse scattering transform. (English) Zbl 0472.35002 SIAM Studies in Applied Mathematics, 4. Philadelphia: SIAM - Society for Industrial and Applied Mathematics. X, 425 p. $ 54.50 (1981). MSC: 35-02 35A22 35P25 35Q99 35G10 35K25 35J10 76B25 PDFBibTeX XML
Drazin, P. G.; Johnson, R. S. Solitons: an introduction. (English) Zbl 0661.35001 Cambridge Texts in Applied Mathematics. Cambridge etc.: Cambridge University Press. xii, 226 p. £32.50/hbk; £11.95/pbk; $ 59.50/hbk $ 19.95/pbk (1989). Reviewer: B.A.Malomed MSC: 35-01 35Q99 35A30 PDFBibTeX XMLCite \textit{P. G. Drazin} and \textit{R. S. Johnson}, Solitons: an introduction. Cambridge etc.: Cambridge University Press (1989; Zbl 0661.35001)
Wloka, J. Partial differential equations. Transl. from the German by C. B. and M. J. Thomas. (English) Zbl 0623.35006 Cambridge etc.: Cambridge University Press. XI, 518 p.; Cloth: £50.00; $ 79.50; Paper: £17.50; $ 29.95 (1987). Reviewer: P.P.Zabrejko MSC: 35-02 46E35 47F05 47A53 47J10 65M99 65N99 PDFBibTeX XML
Stenger, Frank Numerical methods based on sinc and analytic functions. (English) Zbl 0803.65141 Springer Series in Computational Mathematics. 20. New York, NY: Springer- Verlag. xv, 565 p. (1993). Reviewer: M.Tasche (Rostock) MSC: 65T40 65-02 42C05 65N30 65N35 65L60 65M70 65R20 42A38 94A12 65Dxx 44A10 45Exx 45G10 PDFBibTeX XMLCite \textit{F. Stenger}, Numerical methods based on sinc and analytic functions. New York, NY: Springer-Verlag (1993; Zbl 0803.65141)
Yang, Jianke Nonlinear waves in integrable and nonintegrable systems. (English) Zbl 1234.35006 Mathematical Modeling and Computation 16. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898717-05-1/pbk; 978-0-89871-968-0/ebook). xxvi, 430 p. (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 35-02 37-02 65-02 35Q55 35Q41 35Q51 35J10 35P10 37K10 37K15 65N25 65N35 37K40 78A60 82C10 PDFBibTeX XMLCite \textit{J. Yang}, Nonlinear waves in integrable and nonintegrable systems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2010; Zbl 1234.35006) Full Text: DOI
Yang, Q.; Liu, Fawang; Turner, I. Numerical methods for fractional partial differential equations with Riesz space fractional derivatives. (English) Zbl 1185.65200 Appl. Math. Modelling 34, No. 1, 200-218 (2010). MSC: 65M99 26A33 35R11 PDFBibTeX XMLCite \textit{Q. Yang} et al., Appl. Math. Modelling 34, No. 1, 200--218 (2010; Zbl 1185.65200) Full Text: DOI
Fedoryuk, M. V. The saddle-point method. (Metod perevala). (Russian) Zbl 0463.41020 Moskva: “Nauka”. 368 p. R. 1.70 (1977). MSC: 41A60 41A55 41A63 41-01 42A38 44A10 PDFBibTeX XML
de Bruijn, N. G. Asymptotic methods in analysis. (English) Zbl 0082.04202 Bibliotheca Mathematica. Vol. 4. Amsterdam: North-Holland Publishing Co.; Groningen: P. Noordhoff Ltd. xii, 200 p. (1958). Reviewer: E. M. Wright MSC: 26-01 26A18 26B10 34E05 41A60 44A10 65F10 PDFBibTeX XML
Eskin, G. I. Boundary value problems for elliptic pseudodifferential equations. Transl. from the Russian by S. Smith. (English) Zbl 0458.35002 Translations of Mathematical Monographs, 52. Providence, R.I.: American Mathematical Society (AMS). X, 375 p. $ 68.00 (1981). MSC: 35-02 35S05 35S15 35J99 PDFBibTeX XML
Kulish, P. P.; Sklyanin, E. K. Quantum spectral transform method. Recent developments. (English) Zbl 0734.35071 Integrable quantum field theories, Proc. Symp., Tvärminne, 1981, Lect. Notes Phys. 151, 61-119 (1982). MSC: 35P25 35R30 81U40 35-02 81-02 35Q55 35Q58 35Q53 81Q99 PDFBibTeX XML
Polyanin, Andrei D.; Zaitsev, Valentin F. Handbook of nonlinear partial differential equations. (English) Zbl 1053.35001 Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-355-3/hbk). xx, 814 p. (2004). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35-00 35C05 35A22 35A25 35Qxx 35Jxx 35Kxx 35Lxx PDFBibTeX XMLCite \textit{A. D. Polyanin} and \textit{V. F. Zaitsev}, Handbook of nonlinear partial differential equations. Boca Raton, FL: Chapman \& Hall/CRC (2004; Zbl 1053.35001)
Kesavan, S. Topics in functional analysis and applications. (English) Zbl 0666.46001 New York etc.: John Wiley & Sons, Inc.; New Delhi: Wiley Eastern Limited. xii, 267 p. $ 39.50; £18.40 (1989). Reviewer: J.Lorenz MSC: 46-01 47-01 46E35 47F05 47D03 35-01 46F10 35A15 35K05 35L05 47J05 35J20 PDFBibTeX XMLCite \textit{S. Kesavan}, Topics in functional analysis and applications. New York etc.: John Wiley \&| Sons, Inc.; New Delhi: Wiley Eastern Limited (1989; Zbl 0666.46001)
Lei, Siu-Long; Sun, Hai-Wei A circulant preconditioner for fractional diffusion equations. (English) Zbl 1297.65095 J. Comput. Phys. 242, 715-725 (2013). MSC: 65M06 35K05 35R11 65M12 65F08 65T50 PDFBibTeX XMLCite \textit{S.-L. Lei} and \textit{H.-W. Sun}, J. Comput. Phys. 242, 715--725 (2013; Zbl 1297.65095) Full Text: DOI
Strang, Gilbert Introduction to applied mathematics. (English) Zbl 0618.00015 Wellesley, Massachusetts 02181: Wellesley-Cambridge Press. XII, 758 p. (1986). Reviewer: Ll.G.Chambers MSC: 00A69 90-01 PDFBibTeX XML
Kreiss, Heinz-Otto; Lorenz, Jens Initial-boundary value problems and the Navier-Stokes equations. (English) Zbl 0689.35001 Pure and Applied Mathematics, 136. Boston, MA: Academic Press, Inc. xi, 402 p. $ 54.50 (1989). Reviewer: H.Jeggle MSC: 35-01 35Q30 35K45 35A05 35B65 35B40 35K15 35K20 35K50 35G10 35K25 35K55 35K60 35L45 35L50 35L60 35Q99 76D05 76N10 35A35 35A22 35B45 65N06 65M06 PDFBibTeX XMLCite \textit{H.-O. Kreiss} and \textit{J. Lorenz}, Initial-boundary value problems and the Navier-Stokes equations. Boston, MA: Academic Press, Inc. (1989; Zbl 0689.35001)
Lax, Peter D.; Levermore, C. David The small dispersion limit of the Korteweg-de Vries equation. I. (English) Zbl 0532.35067 Commun. Pure Appl. Math. 36, 253-290 (1983). Reviewer: L.-Y.Shih MSC: 35Q99 35B40 47A40 35P25 35A15 PDFBibTeX XMLCite \textit{P. D. Lax} and \textit{C. D. Levermore}, Commun. Pure Appl. Math. 36, 253--290 (1983; Zbl 0532.35067) Full Text: DOI
Fu, Zhuo-Jia; Chen, Wen; Yang, Hai-Tian Boundary particle method for Laplace transformed time fractional diffusion equations. (English) Zbl 1291.76256 J. Comput. Phys. 235, 52-66 (2013). MSC: 76M28 35R11 26A33 65R10 35K05 44A10 PDFBibTeX XMLCite \textit{Z.-J. Fu} et al., J. Comput. Phys. 235, 52--66 (2013; Zbl 1291.76256) Full Text: DOI
Tomovski, Živorad; Hilfer, Rudolf; Srivastava, H. M. Fractional and operational calculus with generalized fractional derivative operators and Mittag-Leffler type functions. (English) Zbl 1213.26011 Integral Transforms Spec. Funct. 21, No. 11-12, 797-814 (2010). Reviewer: Stefan G. Samko (Faro) MSC: 26A33 33C20 33E12 47B38 47G10 PDFBibTeX XMLCite \textit{Ž. Tomovski} et al., Integral Transforms Spec. Funct. 21, No. 11--12, 797--814 (2010; Zbl 1213.26011) Full Text: DOI
Pang, Hong-Kui; Sun, Hai-Wei Multigrid method for fractional diffusion equations. (English) Zbl 1243.65117 J. Comput. Phys. 231, No. 2, 693-703 (2012). MSC: 65M55 35K20 35R11 65M06 65M12 65T50 PDFBibTeX XMLCite \textit{H.-K. Pang} and \textit{H.-W. Sun}, J. Comput. Phys. 231, No. 2, 693--703 (2012; Zbl 1243.65117) Full Text: DOI
Deans, Stanley R. The Radon transform and some of its applications. (English) Zbl 0561.44001 A Wiley-Interscience Publication. New York etc.: John Wiley & Sons. XI, 289 p. (1983). MSC: 44A15 44-02 43A85 45H05 42A38 58C99 65R10 53C30 92F05 78A15 92Cxx 85A99 PDFBibTeX XML
Gorenflo, Rudolf; Luchko, Yuri; Mainardi, Francesco Wright functions as scale-invariant solutions of the diffusion-wave equation. (English) Zbl 0973.35012 J. Comput. Appl. Math. 118, No. 1-2, 175-191 (2000). Reviewer: Ismail Taqi Ali (Safat) MSC: 35A25 26A33 33E20 45J05 45K05 PDFBibTeX XMLCite \textit{R. Gorenflo} et al., J. Comput. Appl. Math. 118, No. 1--2, 175--191 (2000; Zbl 0973.35012) Full Text: DOI
Ralston, Anthony; Rabinowitz, Philip A first course in numerical analysis. 2nd ed. (English) Zbl 0408.65001 International Series in Pure and Applied Mathematics. New York etc.: McGraw-Hill Book Company. XIX, 556 p. DM 54.60; $ 19.50 (1978). MSC: 65-01 65Gxx 65Dxx 65Bxx 65Lxx 65Hxx 65Fxx PDFBibTeX XML
Momani, Shaher; Odibat, Zaid; Erturk, Vedat Suat Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation. (English) Zbl 1209.35066 Phys. Lett., A 370, No. 5-6, 379-387 (2007). MSC: 35K57 35L05 PDFBibTeX XMLCite \textit{S. Momani} et al., Phys. Lett., A 370, No. 5--6, 379--387 (2007; Zbl 1209.35066) Full Text: DOI
Konopelchenko, B. G. Solitons in multidimensions. Inverse spectral transform method. (English) Zbl 0836.35002 Singapore: World Scientific Publishing. viii, 294 p. (1993). Reviewer: T.Aktosun (Fargo) MSC: 35-02 35Q51 37J35 37K10 35Q40 35R30 35P25 81U40 PDFBibTeX XMLCite \textit{B. G. Konopelchenko}, Solitons in multidimensions. Inverse spectral transform method. Singapore: World Scientific Publishing (1993; Zbl 0836.35002)
Atkinson, Kendall; Han, Weimin Theoretical numerical analysis. A functional analysis framework. 2nd ed. (English) Zbl 1068.47091 Texts in Applied Mathematics 39. New York, NY: Springer (ISBN 0-387-25887-6/hbk). xviii, 576 p. (2005). Reviewer: Aleksandar Perović (Berlin) MSC: 47N40 46N40 65-01 65N12 65D05 65Jxx 65R20 65L60 PDFBibTeX XMLCite \textit{K. Atkinson} and \textit{W. Han}, Theoretical numerical analysis. A functional analysis framework. 2nd ed. New York, NY: Springer (2005; Zbl 1068.47091) Full Text: DOI
El-Shahed, Moustafa Application of He’s homotopy perturbation method to Volterra’s integro-differential equation. (English) Zbl 1401.65150 Int. J. Nonlinear Sci. Numer. Simul. 6, No. 2, 163-168 (2005). MSC: 65R20 45D05 65L99 34K07 45J05 PDFBibTeX XMLCite \textit{M. El-Shahed}, Int. J. Nonlinear Sci. Numer. Simul. 6, No. 2, 163--168 (2005; Zbl 1401.65150) Full Text: DOI
Weideman, J. A. C.; Trefethen, L. N. Parabolic and hyperbolic contours for computing the Bromwich integral. (English) Zbl 1113.65119 Math. Comput. 76, No. 259, 1341-1356 (2007). MSC: 65R10 44A10 45K05 35K05 26A33 35A22 PDFBibTeX XMLCite \textit{J. A. C. Weideman} and \textit{L. N. Trefethen}, Math. Comput. 76, No. 259, 1341--1356 (2007; Zbl 1113.65119) Full Text: DOI
Lu, Bin The first integral method for some time fractional differential equations. (English) Zbl 1246.35202 J. Math. Anal. Appl. 395, No. 2, 684-693 (2012). MSC: 35R11 35A22 PDFBibTeX XMLCite \textit{B. Lu}, J. Math. Anal. Appl. 395, No. 2, 684--693 (2012; Zbl 1246.35202) Full Text: DOI
Osborne, Alfred R. Nonlinear ocean waves and the inverse scattering transform. (English) Zbl 1250.86006 International Geophysics Series 97. Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-528629-9/hbk). xxvi, 949 p. (2010). Reviewer: Alla Boikova (Penza) MSC: 86A05 34L25 35Q30 PDFBibTeX XMLCite \textit{A. R. Osborne}, Nonlinear ocean waves and the inverse scattering transform. Amsterdam: Elsevier/Academic Press (2010; Zbl 1250.86006) Full Text: Link
Khuri, Suheil A. A Laplace decomposition algorithm applied to a class of nonlinear differential equations. (English) Zbl 0996.65068 J. Appl. Math. 1, No. 4, 141-155 (2001). Reviewer: Manfred Tasche (Rostock) MSC: 65L05 44A10 34A25 34A34 PDFBibTeX XMLCite \textit{S. A. Khuri}, J. Appl. Math. 1, No. 4, 141--155 (2001; Zbl 0996.65068) Full Text: DOI EuDML
Kumar, Sunil A new analytical modelling for fractional telegraph equation via Laplace transform. (English) Zbl 1427.35327 Appl. Math. Modelling 38, No. 13, 3154-3163 (2014). MSC: 35R11 65M99 PDFBibTeX XMLCite \textit{S. Kumar}, Appl. Math. Modelling 38, No. 13, 3154--3163 (2014; Zbl 1427.35327) Full Text: DOI
Khan, Yasir; Wu, Qingbiao Homotopy perturbation transform method for nonlinear equations using He’s polynomials. (English) Zbl 1219.65119 Comput. Math. Appl. 61, No. 8, 1963-1967 (2011). MSC: 65M99 35F25 35L60 PDFBibTeX XMLCite \textit{Y. Khan} and \textit{Q. Wu}, Comput. Math. Appl. 61, No. 8, 1963--1967 (2011; Zbl 1219.65119) Full Text: DOI
Bildik, Necdet; Konuralp, Ali The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations. (English) Zbl 1401.35010 Int. J. Nonlinear Sci. Numer. Simul. 7, No. 1, 65-70 (2006). MSC: 35C05 35A25 PDFBibTeX XMLCite \textit{N. Bildik} and \textit{A. Konuralp}, Int. J. Nonlinear Sci. Numer. Simul. 7, No. 1, 65--70 (2006; Zbl 1401.35010) Full Text: DOI
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid Application of generalized differential transform method to multi-order fractional differential equations. (English) Zbl 1221.34022 Commun. Nonlinear Sci. Numer. Simul. 13, No. 8, 1642-1654 (2008). MSC: 34A12 34A08 34A25 PDFBibTeX XMLCite \textit{V. S. Erturk} et al., Commun. Nonlinear Sci. Numer. Simul. 13, No. 8, 1642--1654 (2008; Zbl 1221.34022) Full Text: DOI
Ma, Yan-Chow; Ablowitz, Mark J. The periodic cubic Schrödinger equation. (English) Zbl 0493.35032 Stud. Appl. Math. 65, 113-158 (1981). MSC: 35J10 35C05 81Q05 35Q99 35A22 PDFBibTeX XMLCite \textit{Y.-C. Ma} and \textit{M. J. Ablowitz}, Stud. Appl. Math. 65, 113--158 (1981; Zbl 0493.35032) Full Text: DOI
Odibat, Zaid; Momani, Shaher; Erturk, Vedat Suat Generalized differential transform method: Application to differential equations of fractional order. (English) Zbl 1141.65092 Appl. Math. Comput. 197, No. 2, 467-477 (2008). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 26A33 34K05 34K07 45J05 65L05 65L20 PDFBibTeX XMLCite \textit{Z. Odibat} et al., Appl. Math. Comput. 197, No. 2, 467--477 (2008; Zbl 1141.65092) Full Text: DOI
Wazwaz, Abdul-Majid Partial differential equations. Methods and applications. (English) Zbl 1079.35001 Leiden: A. A. Balkema Publishers (ISBN 90-5809-369-7). xi, 459 p. (2002). Reviewer: Yves Cherruault (Paris) MSC: 35-01 35A35 35A22 35C10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Partial differential equations. Methods and applications. Leiden: A. A. Balkema Publishers (2002; Zbl 1079.35001)
Wang, Hong; Wang, Kaixin An \(O(N \log ^{2}N)\) alternating-direction finite difference method for two-dimensional fractional diffusion equations. (English) Zbl 1229.65165 J. Comput. Phys. 230, No. 21, 7830-7839 (2011). MSC: 65M06 35K20 35R11 65F10 65T50 PDFBibTeX XMLCite \textit{H. Wang} and \textit{K. Wang}, J. Comput. Phys. 230, No. 21, 7830--7839 (2011; Zbl 1229.65165) Full Text: DOI
Wang, Hong; Du, Ning Fast alternating-direction finite difference methods for three-dimensional space-fractional diffusion equations. (English) Zbl 1349.65342 J. Comput. Phys. 258, 305-318 (2014). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{H. Wang} and \textit{N. Du}, J. Comput. Phys. 258, 305--318 (2014; Zbl 1349.65342) Full Text: DOI
Arikoglu, Aytac; Ozkol, Ibrahim Solution of boundary value problems for integro-differential equations by using differential transform method. (English) Zbl 1090.65145 Appl. Math. Comput. 168, No. 2, 1145-1158 (2005). Reviewer: Wolfgang zu Castell (Neuherberg) MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{A. Arikoglu} and \textit{I. Ozkol}, Appl. Math. Comput. 168, No. 2, 1145--1158 (2005; Zbl 1090.65145) Full Text: DOI
Wazwaz, Abdul-Majid The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations. (English) Zbl 1190.65199 Appl. Math. Comput. 216, No. 4, 1304-1309 (2010). MSC: 65R20 44A10 45D05 45G10 45J05 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 216, No. 4, 1304--1309 (2010; Zbl 1190.65199) Full Text: DOI
Meleshko, S. V. Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering. (English) Zbl 1081.35001 Mathematical and Analytical Techniques with Applications to Engineering. New York, NY: Springer (ISBN 0-387-25060-3/hbk; 0-387-25265-7/ebook). xvi, 352 p. (2005). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35-02 35A30 58J70 35C05 35A22 PDFBibTeX XMLCite \textit{S. V. Meleshko}, Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering. New York, NY: Springer (2005; Zbl 1081.35001)
Stenger, Frank Handbook of Sinc numerical methods. With CD-ROM. (English) Zbl 1208.65143 Chapman & Hall/CRC Numerical Analysis and Scientific Computing. Boca Raton, FL: CRC Press (ISBN 978-1-4398-2158-9/hbk; 978-1-4398-2159-6/ebook). xx, 463 p. (2011). Reviewer: Dietrich Braess (Bochum) MSC: 65M38 65N38 65-02 35-04 65Y15 65D32 65R20 35J05 35K05 35L05 35Q30 PDFBibTeX XMLCite \textit{F. Stenger}, Handbook of Sinc numerical methods. With CD-ROM. Boca Raton, FL: CRC Press (2011; Zbl 1208.65143) Full Text: Link
Momani, Shaher; Odibat, Zaid A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor’s formula. (English) Zbl 1148.65099 J. Comput. Appl. Math. 220, No. 1-2, 85-95 (2008). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 65M12 45K05 45G10 65M70 PDFBibTeX XMLCite \textit{S. Momani} and \textit{Z. Odibat}, J. Comput. Appl. Math. 220, No. 1--2, 85--95 (2008; Zbl 1148.65099) Full Text: DOI
Arikoglu, Aytac; Ozkol, Ibrahim Solutions of integral and integro-differential equation systems by using differential transform method. (English) Zbl 1165.45300 Comput. Math. Appl. 56, No. 9, 2411-2417 (2008). MSC: 45B05 65N99 PDFBibTeX XMLCite \textit{A. Arikoglu} and \textit{I. Ozkol}, Comput. Math. Appl. 56, No. 9, 2411--2417 (2008; Zbl 1165.45300) Full Text: DOI
Lubich, Ch.; Ostermann, A. Runge-Kutta methods for parabolic equations and convolution quadrature. (English) Zbl 0795.65062 Math. Comput. 60, No. 201, 105-131 (1993). MSC: 65M20 65L06 65M12 65M15 65R20 35K55 35Q30 65D32 44A55 PDFBibTeX XMLCite \textit{Ch. Lubich} and \textit{A. Ostermann}, Math. Comput. 60, No. 201, 105--131 (1993; Zbl 0795.65062) Full Text: DOI
Henrici, Peter Essentials of numerical analysis with pocket calculator demonstrations. (English) Zbl 0584.65001 New York etc.: John Wiley & Sons, Inc. VI, 409 p. (1982). MSC: 65-01 65Dxx 65Fxx 65K05 65L05 65T40 15-04 41-04 42-04 34-04 90-04 PDFBibTeX XML
Kabanikhin, Sergey I. Inverse and ill-posed problems. Theory and applications. (English) Zbl 1247.65077 Inverse and Ill-Posed Problems Series 55. Berlin: de Gruyter (ISBN 978-3-11-022400-9/hbk; 978-3-11-022401-6/ebook). xv, 459 p. (2012). Reviewer: Robert Plato (Siegen) MSC: 65J22 65J20 34B24 35R25 35R30 45Q05 47A52 65F20 65F22 65M30 65M32 65N20 65N21 80A23 35K20 35K58 35J25 35L05 35L20 45G10 45B05 45D05 35Q61 44A12 65R10 65R30 65R32 35-02 45-02 65-02 34A55 PDFBibTeX XMLCite \textit{S. I. Kabanikhin}, Inverse and ill-posed problems. Theory and applications. Berlin: de Gruyter (2012; Zbl 1247.65077) Full Text: DOI
Cascaval, Radu C.; Eckstein, Eugene C.; Frota, Cicero L.; Goldstein, Jerome A. Fractional telegraph equations. (English) Zbl 1038.35142 J. Math. Anal. Appl. 276, No. 1, 145-159 (2002). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 35R10 35L05 35Q80 26A33 PDFBibTeX XMLCite \textit{R. C. Cascaval} et al., J. Math. Anal. Appl. 276, No. 1, 145--159 (2002; Zbl 1038.35142) Full Text: DOI
Odibat, Zaid M.; Bertelle, Cyrille; Aziz-Alaoui, M. A.; Duchamp, Gérard H. E. A multi-step differential transform method and application to non-chaotic or chaotic systems. (English) Zbl 1189.65170 Comput. Math. Appl. 59, No. 4, 1462-1472 (2010). MSC: 65L99 34C28 37D45 PDFBibTeX XMLCite \textit{Z. M. Odibat} et al., Comput. Math. Appl. 59, No. 4, 1462--1472 (2010; Zbl 1189.65170) Full Text: DOI HAL
Gu, Xian-Ming; Huang, Ting-Zhu; Ji, Cui-Cui; Carpentieri, Bruno; Alikhanov, Anatoly A. Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation. (English) Zbl 1379.65062 J. Sci. Comput. 72, No. 3, 957-985 (2017). Reviewer: T. C. Mohan (Chennai) MSC: 65M06 35R11 65T50 35K20 65F08 65M12 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., J. Sci. Comput. 72, No. 3, 957--985 (2017; Zbl 1379.65062) Full Text: DOI arXiv
Kumar, Sunil; Kumar, Amit; Baleanu, Dumitru Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger’s equations arise in propagation of shallow water waves. (English) Zbl 1355.76015 Nonlinear Dyn. 85, No. 2, 699-715 (2016). MSC: 76B15 35R11 35Q35 35C10 PDFBibTeX XMLCite \textit{S. Kumar} et al., Nonlinear Dyn. 85, No. 2, 699--715 (2016; Zbl 1355.76015) Full Text: DOI
McLean, William; Thomée, Vidar Numerical solution via Laplace transforms of a fractional order evolution equation. (English) Zbl 1195.65122 J. Integral Equations Appl. 22, No. 1, 57-94 (2010). Reviewer: Kai Diethelm (Braunschweig) MSC: 65M20 35K05 35L05 35R11 65M60 44A10 35A22 PDFBibTeX XMLCite \textit{W. McLean} and \textit{V. Thomée}, J. Integral Equations Appl. 22, No. 1, 57--94 (2010; Zbl 1195.65122) Full Text: DOI
Kumar, Sunil; Nisar, Kottakkaran Sooppy; Kumar, Ranbir; Cattani, Carlo; Samet, Bessem A new Rabotnov fractional-exponential function-based fractional derivative for diffusion equation under external force. (English) Zbl 1447.35359 Math. Methods Appl. Sci. 43, No. 7, 4460-4471 (2020). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{S. Kumar} et al., Math. Methods Appl. Sci. 43, No. 7, 4460--4471 (2020; Zbl 1447.35359) Full Text: DOI
Çenesiz, Yücel; Keskin, Yıldıray; Kurnaz, Aydın The solution of the Bagley-Torvik equation with the generalized Taylor collocation method. (English) Zbl 1188.65107 J. Franklin Inst. 347, No. 2, 452-466 (2010). MSC: 65L60 34A08 65L05 PDFBibTeX XMLCite \textit{Y. Çenesiz} et al., J. Franklin Inst. 347, No. 2, 452--466 (2010; Zbl 1188.65107) Full Text: DOI
Ralston, Anthony; Rabinowitz, Philip A first course in numerical analysis. Reprint of 1978 2nd ed. (English) Zbl 0976.65001 Mineola, NY: Dover Publications. xviii, 556 p., A50 (2001). MSC: 65-01 65Dxx 65Lxx 65B10 65K05 65Hxx 65Fxx PDFBibTeX XMLCite \textit{A. Ralston} and \textit{P. Rabinowitz}, A first course in numerical analysis. Reprint of 1978 2nd ed. Mineola, NY: Dover Publications (2001; Zbl 0976.65001)
Morrison, P. J.; Meiss, J. D.; Cary, J. R. Scattering of regularized-long-wave solitary waves. (English) Zbl 0599.76028 Physica D 11, 324-336 (1984). MSC: 76B25 35Q99 76M99 70Sxx PDFBibTeX XMLCite \textit{P. J. Morrison} et al., Physica D 11, 324--336 (1984; Zbl 0599.76028) Full Text: DOI
Zauderer, Erich Partial differential equations of applied mathematics. (English) Zbl 0551.35002 Pure and Applied Mathematics. A Wiley-Interscience Publication. New York etc.: John Wiley & Sons. xiii, 779 p. (1983). Reviewer: Manfred Schneider (Karlsruhe) MSC: 35-01 35A15 35A22 35C15 35B20 35C20 PDFBibTeX XML
Jafari, H.; Nazari, M.; Baleanu, D.; Khalique, C. M. A new approach for solving a system of fractional partial differential equations. (English) Zbl 1381.35221 Comput. Math. Appl. 66, No. 5, 838-843 (2013). MSC: 35R11 65M99 PDFBibTeX XMLCite \textit{H. Jafari} et al., Comput. Math. Appl. 66, No. 5, 838--843 (2013; Zbl 1381.35221) Full Text: DOI
Kumar, Sunil; Rashidi, Mohammad Mehdi New analytical method for gas dynamics equation arising in shock fronts. (English) Zbl 1351.35253 Comput. Phys. Commun. 185, No. 7, 1947-1954 (2014). MSC: 35R11 35Q35 76N15 76M25 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{M. M. Rashidi}, Comput. Phys. Commun. 185, No. 7, 1947--1954 (2014; Zbl 1351.35253) Full Text: DOI
Remoissenet, Michel Waves called solitons. Concepts and experiments. 2nd rev. and enlarged ed. (English) Zbl 0922.35147 Berlin: Springer-Verlag. xix, 260 p. (1996). Reviewer: E.D.Belokolos (Kyïv) MSC: 35Q51 35-02 35Q53 35L05 PDFBibTeX XMLCite \textit{M. Remoissenet}, Waves called solitons. Concepts and experiments. 2nd rev. and enlarged ed. Berlin: Springer-Verlag (1996; Zbl 0922.35147)
Wu, Guo-Cheng; Baleanu, Dumitru Variational iteration method for the Burgers’ flow with fractional derivatives – new Lagrange multipliers. (English) Zbl 1438.76046 Appl. Math. Modelling 37, No. 9, 6183-6190 (2013). MSC: 76S05 26A33 65R20 65L05 44A10 45J05 35R11 76M30 PDFBibTeX XMLCite \textit{G.-C. Wu} and \textit{D. Baleanu}, Appl. Math. Modelling 37, No. 9, 6183--6190 (2013; Zbl 1438.76046) Full Text: DOI
McLean, William; Mustapha, Kassem Time-stepping error bounds for fractional diffusion problems with non-smooth initial data. (English) Zbl 1349.65469 J. Comput. Phys. 293, 201-217 (2015). MSC: 65M60 33B30 35R11 65M15 PDFBibTeX XMLCite \textit{W. McLean} and \textit{K. Mustapha}, J. Comput. Phys. 293, 201--217 (2015; Zbl 1349.65469) Full Text: DOI arXiv
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru On the analysis of fractional diabetes model with exponential law. (English) Zbl 1446.34018 Adv. Difference Equ. 2018, Paper No. 231, 15 p. (2018). MSC: 34A08 26A33 92C50 34A25 34A45 34A34 PDFBibTeX XMLCite \textit{J. Singh} et al., Adv. Difference Equ. 2018, Paper No. 231, 15 p. (2018; Zbl 1446.34018) Full Text: DOI
Liu, Jincun; Hou, Guolin Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method. (English) Zbl 1213.65131 Appl. Math. Comput. 217, No. 16, 7001-7008 (2011). MSC: 65M70 35Q53 35R11 PDFBibTeX XMLCite \textit{J. Liu} and \textit{G. Hou}, Appl. Math. Comput. 217, No. 16, 7001--7008 (2011; Zbl 1213.65131) Full Text: DOI
Rezaei, Hamid; Jung, Soon-Mo; Rassias, Themistocles M. Laplace transform and Hyers-Ulam stability of linear differential equations. (English) Zbl 1286.34077 J. Math. Anal. Appl. 403, No. 1, 244-251 (2013). MSC: 34D10 34A30 34C20 PDFBibTeX XMLCite \textit{H. Rezaei} et al., J. Math. Anal. Appl. 403, No. 1, 244--251 (2013; Zbl 1286.34077) Full Text: DOI
Jackson, Kenneth R.; Jaimungal, Sebastian; Surkov, Vladimir Fourier space time-stepping for option pricing with Lévy models. (English) Zbl 1175.91181 J. Comput. Finance 12, No. 2, 1-29 (2008). MSC: 91G20 91G60 91G80 PDFBibTeX XMLCite \textit{K. R. Jackson} et al., J. Comput. Finance 12, No. 2, 1--29 (2008; Zbl 1175.91181) Full Text: DOI
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru A new analysis for fractional model of regularized long-wave equation arising in ion acoustic plasma waves. (English) Zbl 1388.35212 Math. Methods Appl. Sci. 40, No. 15, 5642-5653 (2017). MSC: 35R11 35A20 35A22 PDFBibTeX XMLCite \textit{D. Kumar} et al., Math. Methods Appl. Sci. 40, No. 15, 5642--5653 (2017; Zbl 1388.35212) Full Text: DOI
Abate, Joseph; Whitt, Ward Numerical inversion of probability generating functions. (English) Zbl 0758.60014 Oper. Res. Lett. 12, No. 4, 245-251 (1992). Reviewer: C.Klüppelberg (Mannheim) MSC: 60E10 65C99 60K25 PDFBibTeX XMLCite \textit{J. Abate} and \textit{W. Whitt}, Oper. Res. Lett. 12, No. 4, 245--251 (1992; Zbl 0758.60014) Full Text: DOI
Maslov, V. P. Operational methods. Transl. from the Russian by V. Golo, N. Kulman and G. Voropaeva. (English) Zbl 0449.47002 Moscow: Mir Publishers. 559 p. R. 3.35 (1976). MSC: 47-02 44A40 46F10 58J40 35C99 35A22 46E35 47B25 PDFBibTeX XML
Gerdjikov, Vladimir Stefanov; Vilasi, Gaetano; Yanovski, Alexandar Borissov Integrable Hamiltonian hierarchies. Spectral and geometric methods. (English) Zbl 1167.37001 Lecture Notes in Physics 748. Berlin: Springer (ISBN 978-3-540-77053-4/hbk). xii, 653 p. (2008). Reviewer: Ma Wen-Xiu (Tampa) MSC: 37-02 37K10 37K25 35Q51 37K15 35Q53 35Q55 37K05 37K40 PDFBibTeX XMLCite \textit{V. S. Gerdjikov} et al., Integrable Hamiltonian hierarchies. Spectral and geometric methods. Berlin: Springer (2008; Zbl 1167.37001) Full Text: DOI
Nazari, D.; Shahmorad, S. Application of the fractional differential transform method to fractional-order integro-differential equations with nonlocal boundary conditions. (English) Zbl 1188.65174 J. Comput. Appl. Math. 234, No. 3, 883-891 (2010). MSC: 65R20 45J05 26A33 PDFBibTeX XMLCite \textit{D. Nazari} and \textit{S. Shahmorad}, J. Comput. Appl. Math. 234, No. 3, 883--891 (2010; Zbl 1188.65174) Full Text: DOI
Hasanov Hasanoğlu, Alemdar; Romanov, Vladimir G. Introduction to inverse problems for differential equations. (English) Zbl 1385.65053 Cham: Springer (ISBN 978-3-319-62796-0/hbk; 978-3-319-62797-7/ebook). xiii, 261 p. (2017). Reviewer: Robert Plato (Siegen) MSC: 65M32 65R20 35-02 34A55 35R30 44A12 47A52 47J06 47J25 65N21 78A46 80A23 35Q61 65-02 65J22 65J20 PDFBibTeX XMLCite \textit{A. Hasanov Hasanoğlu} and \textit{V. G. Romanov}, Introduction to inverse problems for differential equations. Cham: Springer (2017; Zbl 1385.65053) Full Text: DOI
Cole, Kevin D.; Beck, James V.; Haji-Sheikh, A.; Litkouhi, Bahman Heat conduction using Green’s functions. 2nd ed. (English) Zbl 1272.80001 Series in Computational and Physical Processes in Mechanics and Thermal Sciences. Boca Raton, FL: CRC Press (ISBN 978-1-4398-1354-6/hbk). xx, 643 p. (2011). Reviewer: Alain Brillard (Riedisheim) MSC: 80-02 80A20 35-01 35A08 35C15 35J08 35K05 35K08 35K51 PDFBibTeX XMLCite \textit{K. D. Cole} et al., Heat conduction using Green's functions. 2nd ed. Boca Raton, FL: CRC Press (2011; Zbl 1272.80001)
Yang, Xiao-Jun; Tenreiro Machado, J. A.; Srivastava, H. M. A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach. (English) Zbl 1410.65415 Appl. Math. Comput. 274, 143-151 (2016). MSC: 65M99 PDFBibTeX XMLCite \textit{X.-J. Yang} et al., Appl. Math. Comput. 274, 143--151 (2016; Zbl 1410.65415) Full Text: DOI
Shaikh, Amjad; Tassaddiq, Asifa; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations. (English) Zbl 1459.35383 Adv. Difference Equ. 2019, Paper No. 178, 14 p. (2019). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{A. Shaikh} et al., Adv. Difference Equ. 2019, Paper No. 178, 14 p. (2019; Zbl 1459.35383) Full Text: DOI
Costin, Ovidiu Asymptotics and Borel summability. (English) Zbl 1169.34001 Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics 141. Boca Raton, FL: Chapman & Hall/CRC (ISBN 978-1-4200-7031-6/hbk). xiii, 250 p. (2009). Reviewer: Vladimir P. Kostov (Nice) MSC: 34-02 34M30 40-02 40G10 34M60 34M35 34M37 PDFBibTeX XMLCite \textit{O. Costin}, Asymptotics and Borel summability. Boca Raton, FL: Chapman \& Hall/CRC (2009; Zbl 1169.34001) Backlinks: MO
Yan, Yi; Fairweather, Graeme Orthogonal spline collocation methods for some partial integrodifferential equations. (English) Zbl 0756.65157 SIAM J. Numer. Anal. 29, No. 3, 755-768 (1992). Reviewer: T.Tang (Burnaby) MSC: 65R20 45K05 74Hxx PDFBibTeX XMLCite \textit{Y. Yan} and \textit{G. Fairweather}, SIAM J. Numer. Anal. 29, No. 3, 755--768 (1992; Zbl 0756.65157) Full Text: DOI
Tari, A.; Rahimi, M. Y.; Shahmorad, S.; Talati, F. Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method. (English) Zbl 1176.65164 J. Comput. Appl. Math. 228, No. 1, 70-76 (2009). Reviewer: Pat Lumb (Chester) MSC: 65R20 45G10 PDFBibTeX XMLCite \textit{A. Tari} et al., J. Comput. Appl. Math. 228, No. 1, 70--76 (2009; Zbl 1176.65164) Full Text: DOI
Wang, Hong; Du, Ning A fast finite difference method for three-dimensional time-dependent space-fractional diffusion equations and its efficient implementation. (English) Zbl 1349.65341 J. Comput. Phys. 253, 50-63 (2013). MSC: 65M06 35R11 35K57 65Y20 PDFBibTeX XMLCite \textit{H. Wang} and \textit{N. Du}, J. Comput. Phys. 253, 50--63 (2013; Zbl 1349.65341) Full Text: DOI
Madani, Mohammad; Fathizadeh, Mahdi; Khan, Yasir; Yildirim, Ahmet On the coupling of the homotopy perturbation method and Laplace transformation. (English) Zbl 1219.65121 Math. Comput. Modelling 53, No. 9-10, 1937-1945 (2011). MSC: 65M99 44A10 PDFBibTeX XMLCite \textit{M. Madani} et al., Math. Comput. Modelling 53, No. 9--10, 1937--1945 (2011; Zbl 1219.65121) Full Text: DOI
Ozgumus, Ozge Ozdemir; Kaya, Metin O. Flapwise bending vibration analysis of double tapered rotating Euler-Bernoulli beam by using the differential transform method. (English) Zbl 1163.74512 Meccanica 41, No. 6, 661-670 (2006). MSC: 74H45 74K10 74S30 74H15 PDFBibTeX XMLCite \textit{O. O. Ozgumus} and \textit{M. O. Kaya}, Meccanica 41, No. 6, 661--670 (2006; Zbl 1163.74512) Full Text: DOI
Konopelchenko, B. G. Introduction to multidimensional integrable equations. The inverse spectral transform in \(2+1\) dimensions. Technical ed.: C. Rogers. (English) Zbl 0877.35118 New York, NY: Plenum Press. x, 292 p. (1992). Reviewer: E.Previato (Boston) MSC: 35Q58 37J35 37K10 35Q53 58J50 35-02 PDFBibTeX XMLCite \textit{B. G. Konopelchenko}, Introduction to multidimensional integrable equations. The inverse spectral transform in \(2+1\) dimensions. Technical ed.: C. Rogers. New York, NY: Plenum Press (1992; Zbl 0877.35118)
Pinchover, Yehuda; Rubinstein, Jacob An introduction to partial differential equations. (English) Zbl 1065.35001 Cambridge: Cambridge University Press (ISBN 0-521-84886-5/hbk; 0-521-61323-X/pbk). xii, 371 p. (2005). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35-01 49-01 65Nxx PDFBibTeX XMLCite \textit{Y. Pinchover} and \textit{J. Rubinstein}, An introduction to partial differential equations. Cambridge: Cambridge University Press (2005; Zbl 1065.35001)
Weideman, J. A. C. Optimizing Talbot’s contours for the inversion of the Laplace transform. (English) Zbl 1131.65105 SIAM J. Numer. Anal. 44, No. 6, 2342-2362 (2006). MSC: 65R10 65M70 44A10 35K05 35A22 65M12 PDFBibTeX XMLCite \textit{J. A. C. Weideman}, SIAM J. Numer. Anal. 44, No. 6, 2342--2362 (2006; Zbl 1131.65105) Full Text: DOI Link
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses. (English) Zbl 1390.35376 Nonlinear Dyn. 91, No. 1, 307-317 (2018). MSC: 35Q92 35R11 PDFBibTeX XMLCite \textit{D. Kumar} et al., Nonlinear Dyn. 91, No. 1, 307--317 (2018; Zbl 1390.35376) Full Text: DOI
Hashemi, M. S. Invariant subspaces admitted by fractional differential equations with conformable derivatives. (English) Zbl 1381.34014 Chaos Solitons Fractals 107, 161-169 (2018). MSC: 34A08 26A33 44A10 35R11 PDFBibTeX XMLCite \textit{M. S. Hashemi}, Chaos Solitons Fractals 107, 161--169 (2018; Zbl 1381.34014) Full Text: DOI
Li, Meng; Zhao, Yong-Liang A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator. (English) Zbl 1427.65253 Appl. Math. Comput. 338, 758-773 (2018). MSC: 65M60 35R11 65M12 PDFBibTeX XMLCite \textit{M. Li} and \textit{Y.-L. Zhao}, Appl. Math. Comput. 338, 758--773 (2018; Zbl 1427.65253) Full Text: DOI
Moin, Parviz Fundamentals of engineering numerical analysis. 2nd ed. (English) Zbl 1228.65003 Cambridge: Cambridge University Press (ISBN 978-0-521-71123-4/pbk; 978-0-521-88432-7/hbk; 978-0-511-92221-3/ebook). xiv, 241 p. (2010). Reviewer: Octavian Pastravanu (Iaşi) MSC: 65-01 00A06 65Dxx 65Lxx 65Mxx 65Nxx 65T50 65Rxx PDFBibTeX XMLCite \textit{P. Moin}, Fundamentals of engineering numerical analysis. 2nd ed. Cambridge: Cambridge University Press (2010; Zbl 1228.65003) Full Text: DOI
Gómez-Aguilar, J. F.; Yépez-Martínez, H.; Torres-Jiménez, J.; Córdova-Fraga, T.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H. Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel. (English) Zbl 1422.35165 Adv. Difference Equ. 2017, Paper No. 68, 18 p. (2017). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{J. F. Gómez-Aguilar} et al., Adv. Difference Equ. 2017, Paper No. 68, 18 p. (2017; Zbl 1422.35165) Full Text: DOI
Saad, Khaled M.; Baleanu, Dumitru; Atangana, Abdon New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burgers equations. (New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burger’s equations.) (English) Zbl 1432.35229 Comput. Appl. Math. 37, No. 4, 5203-5216 (2018). MSC: 35R11 35Q53 PDFBibTeX XMLCite \textit{K. M. Saad} et al., Comput. Appl. Math. 37, No. 4, 5203--5216 (2018; Zbl 1432.35229) Full Text: DOI
Pan, Ernian; Chen, Weiqiu Static Green’s functions in anisotropic media. (English) Zbl 1332.78001 Cambridge: Cambridge University Press (ISBN 978-1-107-03480-8/hbk; 978-1-139-54101-5/ebook). xvii, 337 p. (2015). Reviewer: Aleksander Pankov (Baltimore) MSC: 78-02 78A25 78M99 34B27 PDFBibTeX XMLCite \textit{E. Pan} and \textit{W. Chen}, Static Green's functions in anisotropic media. Cambridge: Cambridge University Press (2015; Zbl 1332.78001) Full Text: DOI
Il’in, A. M.; Danilin, A. R. Asymptotic methods in analysis. (Асимптотические методы в анализе.) (Russian) Zbl 1211.34003 Moskva: Fizmatlit (ISBN 978-5-9221-1056-3/hbk). 248 p. (2009). Reviewer: E. V. Shchetinina (Samara) MSC: 34-02 34E05 34E10 34E20 44A10 PDFBibTeX XMLCite \textit{A. M. Il'in} and \textit{A. R. Danilin}, Асимптотические методы в анализе (Russian). Moskva: Fizmatlit (2009; Zbl 1211.34003)
Banjai, Lehel; Lubich, Christian; Melenk, Jens Markus Runge-Kutta convolution quadrature for operators arising in wave propagation. (English) Zbl 1227.65027 Numer. Math. 119, No. 1, 1-20 (2011). Reviewer: Manfred Tasche (Rostock) MSC: 65D30 65L06 44A10 76Q05 PDFBibTeX XMLCite \textit{L. Banjai} et al., Numer. Math. 119, No. 1, 1--20 (2011; Zbl 1227.65027) Full Text: DOI
Zheng, G. H.; Wei, T. Spectral regularization method for a Cauchy problem of the time fractional advection-dispersion equation. (English) Zbl 1186.65128 J. Comput. Appl. Math. 233, No. 10, 2631-2640 (2010). Reviewer: Li Changpin (Logan) MSC: 65M30 35R11 35R25 65M12 65M70 PDFBibTeX XMLCite \textit{G. H. Zheng} and \textit{T. Wei}, J. Comput. Appl. Math. 233, No. 10, 2631--2640 (2010; Zbl 1186.65128) Full Text: DOI
Odibat, Zaid M. Differential transform method for solving Volterra integral equation with separable kernels. (English) Zbl 1187.45003 Math. Comput. Modelling 48, No. 7-8, 1144-1149 (2008). MSC: 45D05 PDFBibTeX XMLCite \textit{Z. M. Odibat}, Math. Comput. Modelling 48, No. 7--8, 1144--1149 (2008; Zbl 1187.45003) Full Text: DOI
Kaslik, Eva; Sivasundaram, Seenith Analytical and numerical methods for the stability analysis of linear fractional delay differential equations. (English) Zbl 1250.65099 J. Comput. Appl. Math. 236, No. 16, 4027-4041 (2012). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L07 65L03 34K20 34K28 65L20 34A08 34K06 PDFBibTeX XMLCite \textit{E. Kaslik} and \textit{S. Sivasundaram}, J. Comput. Appl. Math. 236, No. 16, 4027--4041 (2012; Zbl 1250.65099) Full Text: DOI
Choudhury, Gagan L.; Lucantoni, David M.; Whitt, Ward Multidimensional transform inversion with applications to the transient \(M/G/1\) queue. (English) Zbl 0808.65140 Ann. Appl. Probab. 4, No. 3, 719-740 (1994). Reviewer: N.Hayek (La Laguna) MSC: 65R10 65T40 65C99 44A10 42A38 60K25 PDFBibTeX XMLCite \textit{G. L. Choudhury} et al., Ann. Appl. Probab. 4, No. 3, 719--740 (1994; Zbl 0808.65140) Full Text: DOI