Edit Profile (opens in new tab) Saha Ray, Santanu Co-Author Distance Author ID: saha-ray.santanu Published as: Saha Ray, S.; Saha Ray, Santanu; Ray, Santanu Saha more...less Documents Indexed: 102 Publications since 2005, including 8 Books 2 Contributions as Editor Co-Authors: 25 Co-Authors with 70 Joint Publications 704 Co-Co-Authors all top 5 Co-Authors 25 single-authored 16 Sahoo, Subhadarshan 13 Sahu, Prakash Kumar 7 Singh, Priya 7 Singh, Soumyendra 6 Gupta, Arun Kumar 5 Behera, Srikanta 4 Bera, Rasajit K. 3 Vinita 2 Gupta, Reema 1 Abdel-Aty, Abdel-Haleem 1 Abdou, Mohamed Aly Mohamed 1 Agrawal, Om Prakash 1 Chand, Abhilash 1 Chaudhuri, Kripa Sindhu 1 Dandapat, A. 1 Das, Subir 1 Giri, Subodha 1 Gupta, Praveen Kumar 1 Kayal, Suchandan 1 Khan, Yasir 1 Kiliçman, Adem 1 Kumar, Sanjay 1 Owyed, Saud 1 Sekhar, T. Raja 1 Vishal, Kumar all top 5 Serials 11 Applied Mathematics and Computation 8 Mathematical Methods in the Applied Sciences 6 Computers & Mathematics with Applications 5 Computational and Applied Mathematics 4 Journal of Computational and Applied Mathematics 4 International Journal of Nonlinear Sciences and Numerical Simulation 3 Stochastic Analysis and Applications 3 Numerical Methods for Partial Differential Equations 3 Nonlinear Dynamics 3 Communications in Nonlinear Science and Numerical Simulation 3 International Journal of Geometric Methods in Modern Physics 3 Communications in Theoretical Physics 2 International Journal of Modern Physics B 2 Physica A 2 Mathematics and Computers in Simulation 2 Qualitative Theory of Dynamical Systems 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Mathematical Sciences 2 Journal of Computational and Theoretical Transport 1 Computers and Fluids 1 Journal of Mathematical Analysis and Applications 1 Journal of Geometry and Physics 1 Fuzzy Sets and Systems 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Electronic Journal of Differential Equations (EJDE) 1 Random Operators and Stochastic Equations 1 Journal of Vibration and Control 1 Mathematical Communications 1 Abstract and Applied Analysis 1 Fundamenta Informaticae 1 Methodology and Computing in Applied Probability 1 CMES. Computer Modeling in Engineering & Sciences 1 Physica Scripta 1 Computational Methods in Applied Mathematics 1 Journal of Intelligent and Fuzzy Systems 1 International Journal of Computational Methods 1 International Journal of Applied Mathematics and Mechanics 1 Waves in Random and Complex Media 1 International Journal of Biomathematics 1 International Journal of Nonlinear Science 1 Journal of Applied Mathematics & Informatics 1 Journal of Applied Analysis and Computation 1 Lecture Notes in Electrical Engineering all top 5 Fields 58 Numerical analysis (65-XX) 56 Partial differential equations (35-XX) 30 Integral equations (45-XX) 19 Real functions (26-XX) 18 Probability theory and stochastic processes (60-XX) 12 Ordinary differential equations (34-XX) 9 Fluid mechanics (76-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 General and overarching topics; collections (00-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Biology and other natural sciences (92-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 90 Publications have been cited 1,100 times in 826 Documents Cited by ▼ Year ▼ Analytical solution of the Bagley-Torvik equation by Adomian decomposition method. Zbl 1109.65072 Saha Ray, S.; Bera, R. K. 72 2005 On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation. Zbl 1359.65314 Saha Ray, S. 56 2012 Analytical solution for the space fractional diffusion equation by two-step Adomian decomposition method. Zbl 1221.65284 Ray, Santanu Saha 54 2009 Analytical solution of a fractional diffusion equation by Adomian decomposition method. Zbl 1089.65108 Saha Ray, S.; Bera, R. K. 53 2006 Improved fractional sub-equation method for \((3+1)\)-dimensional generalized fractional KdV-Zakharov-Kuznetsov equations. Zbl 1443.35173 Sahoo, S.; Saha Ray, S. 47 2015 Exact solutions for time-fractional diffusion-wave equations by decomposition method. Zbl 1197.35147 Ray, Santanu Saha 34 2007 A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends. Zbl 1147.65107 Ray, Santanu Saha 30 2008 Lie symmetry analysis for similarity reduction and exact solutions of modified KdV-Zakharov-Kuznetsov equation. Zbl 1384.37086 Sahoo, S.; Garai, G.; Saha Ray, S. 30 2017 Fractional calculus with applications for nuclear reactor dynamics. Zbl 1317.00002 Saha Ray, Santanu 29 2016 Lie symmetry analysis and exact solutions of \((3+1)\) dimensional Yu-Toda-Sasa-Fukuyama equation in mathematical physics. Zbl 1368.34048 Sahoo, S.; Saha Ray, S. 29 2017 Numerical treatment for the solution of fractional fifth-order Sawada-Kotera equation using second kind Chebyshev wavelet method. Zbl 1443.65244 Gupta, A. K.; Saha Ray, S. 28 2015 New exact solutions of nonlinear fractional acoustic wave equations in ultrasound. Zbl 1359.35218 Saha Ray, S. 27 2016 Comparison between homotopy perturbation method and optimal homotopy asymptotic method for the soliton solutions of Boussinesq-Burger equations. Zbl 1391.76547 Gupta, A. K.; Saha Ray, S. 27 2014 Analytical approximate solution of nonlinear dynamic system containing fractional derivative by modified decomposition method. Zbl 1108.65129 Saha Ray, S.; Chaudhuri, K. S.; Bera, R. K. 24 2006 Solitary wave solutions for time fractional third order modified KdV equation using two reliable techniques \((G^{\prime} / G)\)-expansion method and improved \((G^{\prime} / G)\)-expansion method. Zbl 1400.35204 Sahoo, S.; Saha Ray, S. 22 2016 A new Bernoulli wavelet method for accurate solutions of nonlinear fuzzy Hammerstein-Volterra delay integral equations. Zbl 1370.65082 Sahu, P. K.; Saha Ray, S. 22 2017 Haar wavelet operational methods for the numerical solutions of fractional order nonlinear oscillatory Van der Pol system. Zbl 1329.65174 Saha Ray, S.; Patra, A. 20 2013 New exact solutions of fractional Zakharov-Kuznetsov and modified Zakharov-Kuznetsov equations using fractional sub-equation method. Zbl 1305.35153 Saha Ray, S.; Sahoo, S. 20 2015 Wavelet methods for solving partial differential equations and fractional differential equations. Zbl 1386.65008 Saha Ray, Santanu; Gupta, Arun Kumar 19 2018 Nonlinear differential equations in physics. Novel methods for finding solutions. Zbl 1445.35010 Saha Ray, Santanu 18 2020 An application of the modified decomposition method for the solution of the coupled Klein-Gordon-Schrödinger equation. Zbl 1221.65283 Ray, Santanu Saha 18 2008 Invariant analysis and conservation laws of \((2+1)\) dimensional time-fractional ZK-BBM equation in gravity water waves. Zbl 1409.35226 Saha Ray, S.; Sahoo, S. 18 2018 Numerical solutions for the system of Fredholm integral equations of second kind by a new approach involving semiorthogonal B-spline wavelet collocation method. Zbl 1298.65196 Sahu, P. K.; Saha Ray, S. 18 2014 Two-dimensional Legendre wavelet method for the numerical solutions of fuzzy integro-differential equations. Zbl 1351.45009 Kumar Sahu, Prakash; Saha Ray, Santanu 17 2015 Legendre spectral collocation method for Fredholm integro-differential-difference equation with variable coefficients and mixed conditions. Zbl 1410.65287 Sahu, P. K.; Saha Ray, S. 15 2015 On the solitary wave solution of fractional Kudryashov-Sinelshchikov equation describing nonlinear wave processes in a liquid containing gas bubbles. Zbl 1411.35271 Gupta, A. K.; Saha Ray, S. 15 2017 Two-dimensional Legendre wavelet method for travelling wave solutions of time-fractional generalized seventh order KdV equation. Zbl 1412.65166 Saha Ray, S.; Gupta, A. K. 14 2017 New solitary wave solutions of time-fractional coupled Jaulent-Miodek equation by using two reliable methods. Zbl 1355.35036 Sahoo, S.; Saha Ray, S. 14 2016 Comparison on wavelets techniques for solving fractional optimal control problems. Zbl 1400.93124 Sahu, P. K.; Saha Ray, S. 14 2018 New approach to find exact solutions of time-fractional Kuramoto-Sivashinsky equation. Zbl 1400.35225 Sahoo, S.; Saha Ray, S. 14 2015 Numerical solution of stochastic Itô-Volterra integral equation by using shifted Jacobi operational matrix method. Zbl 1510.65329 Saha Ray, S.; Singh, P. 14 2021 Legendre spectral collocation method for the solution of the model describing biological species living together. Zbl 1328.45011 Sahu, P. K.; Saha Ray, S. 12 2016 A new approach by two-dimensional wavelets operational matrix method for solving variable-order fractional partial integro-differential equations. Zbl 1535.65295 Saha Ray, Santanu 12 2021 New optical soliton solutions of nolinear evolution equation describing nonlinear dispersion. Zbl 1455.35046 Owyed, Saud; Abdou, M. A.; Abdel-Aty, Abdel-Haleem; Saha Ray, S. 11 2019 An efficient numerical method based on Euler wavelets for solving fractional order pantograph Volterra delay-integro-differential equations. Zbl 1491.65054 Behera, S.; Saha Ray, S. 11 2022 New double-periodic solutions of fractional Drinfeld-Sokolov-Wilson equation in shallow water waves. Zbl 1380.34021 Sahoo, S.; Saha Ray, Santanu 10 2017 Invariant analysis and conservation laws for the time fractional \((2+1)\)-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis. Zbl 1442.35013 Saha Ray, S. 9 2018 Euler wavelets method for solving fractional-order linear Volterra-Fredholm integro-differential equations with weakly singular kernels. Zbl 1476.65335 Behera, S.; Saha Ray, S. 9 2021 Numerical solutions of stochastic Volterra-Fredholm integral equations by hybrid Legendre block-pulse functions. Zbl 1401.65015 Saha Ray, S.; Singh, S. 9 2018 New various multisoliton kink-type solutions of the (1 +1)-dimensional Mikhailov-Novikov-Wang equation. Zbl 1479.35213 Ray, Santanu Saha; Singh, Shailendra 9 2021 A comparative study on the analytic solutions of fractional coupled sine-Gordon equations by using two reliable methods. Zbl 1338.35480 Saha Ray, S.; Sahoo, S. 8 2015 Comparative experiment on the numerical solutions of Hammerstein integral equation arising from chemical phenomenon. Zbl 1329.45005 Sahu, P. K.; Saha Ray, S. 7 2016 Numerical solutions for Volterra integro-differential forms of Lane-Emden equations of first and second kind using Legendre multi-wavelets. Zbl 1314.65096 Sahu, Prakash Kumar; Ray, Santanu Saha 7 2015 Sinc-Galerkin technique for the numerical solution of fractional Volterra-Fredholm integro-differential equations with weakly singular kernels. Zbl 1401.65153 Sahu, P. K.; Saha Ray, S. 7 2016 Numerical analysis with algorithms and programming. Zbl 1359.65002 Saha Ray, Santanu 6 2016 Solution of the coupled Klein-Gordon Schrödinger equation using the modified decomposition method. Zbl 1394.35282 Ray, Santanu Saha 6 2007 The new exact solutions of variant types of time fractional coupled Schrödinger equations in plasma physics. Zbl 1488.35575 Sahoo, Subhadarshan; Ray, Santanu Saha 6 2017 Comparison of two reliable analytical methods based on the solutions of fractional coupled Klein-Gordon-Zakharov equations in plasma physics. Zbl 1432.35230 Saha Ray, S.; Sahoo, S. 6 2016 A new numerical approach for single rational soliton solution of Chen-Lee-Liu equation with Riesz fractional derivative in optical fibers. Zbl 1472.65130 Ray, Santanu Saha 5 2019 Stochastic operational matrix of Chebyshev wavelets for solving multi-dimensional stochastic Itô-Volterra integral equations. Zbl 1426.60061 Singh, Soumyendra; Saha Ray, Santanu 5 2019 Lie symmetry analysis, symmetry reductions with exact solutions, and conservation laws of \((2+1)\)-dimensional Bogoyavlenskii-Schieff equation of higher order in plasma physics. Zbl 1477.35225 Ray, Santanu Saha; Vinita 5 2020 Generalized fractional order differential equations arising in physical models. Zbl 1435.35005 Saha Ray, Santanu; Sahoo, Subhadarshan 5 2019 Lie symmetries analysis and conservation laws for the fractional Calogero-Degasperis-Ibragimov-Shabat equation. Zbl 1499.35040 Sahoo, S.; Saha Ray, S. 5 2018 New stochastic operational matrix method for solving stochastic Itô-Volterra integral equations characterized by fractional Brownian motion. Zbl 1472.60110 Saha Ray, S.; Singh, S. 5 2021 A localized meshfree technique for solving fractional Benjamin-Ono equation describing long internal waves in deep stratified fluids. Zbl 07693652 Sagar, B.; Saha Ray, S. 5 2023 Graph theory with algorithms and its applications. In applied science and technology. Zbl 1259.05037 Saha Ray, Santanu 4 2013 An investigation on reliable analytical and numerical methods for the Riesz fractional nonlinear Schrödinger equation in quantum mechanics. Zbl 1407.65127 Ray, Santanu Saha 4 2018 Numerical approximate solutions of nonlinear Fredholm integral equations of second kind using B-spline wavelets and variational iteration method. Zbl 1356.65266 Sahu, P. K.; Saha Ray, S. 4 2013 A new Bernoulli wavelet method for numerical solutions of nonlinear weakly singular Volterra integro-differential equations. Zbl 1404.65332 Sahu, P. K.; Saha Ray, S. 4 2017 Numerical treatment for Burgers-Fisher and generalized Burgers-Fisher equations. Zbl 1473.65201 Kumar, S.; Saha Ray, S. 4 2021 Numerical soliton solutions of fractional \((2 + 1)\)-dimensional Nizhnik-Novikov-Veselov equations in nonlinear optics. Zbl 1462.78022 Sagar, B.; Saha Ray, S. 4 2021 An efficient numerical method based on Lucas polynomials to solve multi-dimensional stochastic Itô-Volterra integral equations. Zbl 1540.65568 Singh, P. K.; Saha Ray, S. 4 2023 Numerical solution of fractional Dullin-Gottwald-Holm equation for solitary shallow water waves. Zbl 1533.65200 Saha Ray, Santanu; Sagar, B. 4 2022 A novel approach for stochastic solutions of Wick-type stochastic time-fractional Benjamin-Bona-Mahony equation for modeling long surface gravity waves of small amplitude. Zbl 1414.60048 Sahoo, S.; Saha Ray, S. 3 2019 Shifted Chebyshev spectral Galerkin method to solve stochastic Itô-Volterra integral equations driven by fractional Brownian motion appearing in mathematical physics. Zbl 1538.65623 Singh, P. K.; Saha Ray, S. 3 2023 A stochastic operational matrix method for numerical solutions of mixed stochastic Volterra-Fredholm integral equations. Zbl 1462.60071 Singh, S.; Saha Ray, Santanu 3 2020 Invariant analysis with conservation law of time fractional coupled Ablowitz-Kaup-Newell-Segur equations in water waves. Zbl 1504.35625 Sahoo, S.; Saha Ray, S. 3 2020 The transport dynamics in complex systems governing by anomalous diffusion modelled with Riesz fractional partial differential equations. Zbl 1380.65177 Ray, Santanu Saha 3 2017 A new coupled fractional reduced differential transform method for solving time fractional coupled KdV equations. Zbl 1401.35321 Saha Ray, S. 3 2013 A novel approach with time-splitting spectral technique for the coupled Schrödinger-Boussinesq equations involving Riesz fractional derivative. Zbl 1377.35277 Saha Ray, S. 3 2017 Two reliable methods for numerical solution of nonlinear stochastic Itô-Volterra integral equation. Zbl 1498.60188 Singh, Priya; Saha Ray, Santanu 3 2022 New abundant analytic solutions for generalized KdV6 equation with time-dependent variable coefficients using Painlevé analysis and auto-Bäcklund transformation. Zbl 1539.35221 Singh, Shailendra; Saha Ray, S. 3 2022 A novel method for new solutions of time fractional \((1+2)\)-dimensional nonlinear Schrödinger equation involving dual-power law nonlinearity. Zbl 1428.35536 Saha Ray, S. 2 2019 Similarity solutions for Keller-Segel model with fractional diffusion of cells. Zbl 1471.35307 Ray, Santanu Saha 2 2021 Two-dimensional wavelets scheme for numerical solutions of linear and nonlinear Volterra integro-differential equations. Zbl 1540.65542 Behera, S.; Saha Ray, S. 2 2022 Numerical solution of fractional Kersten-Krasil’shchik coupled KdV-mKdV system arising in shallow water waves. Zbl 1513.35137 Sagar, B.; Saha Ray, S. 2 2022 The new complex rational function prototype structures for the nonlinear Schrödinger-inviscid Burgers system. Zbl 1402.35262 Ray, Santanu Saha 2 2018 Two-dimensional Chebyshev wavelet method for Camassa-Holm equation with Riesz fractional derivative describing propagation of shallow water waves. Zbl 1436.65147 Gupta, A. K.; Saha Ray, S. 2 2017 New soliton solutions of the time fractional Drinfeld-Sokolov-Satsuma-Hirota system in dispersive water waves. Zbl 1484.35130 Ray, Santanu Saha; Giri, Subodha 2 2021 New exact solutions for the Wick-type stochastic Zakharov-Kuznetsov equation for modelling waves on shallow water surfaces. Zbl 1365.60061 Saha Ray, S.; Singh, S. 2 2017 New analytic solutions for fluid flow equations in higher dimensions around an offshore structure describing bidirectional wave surfaces. Zbl 1518.35185 Singh, Shailendra; Saha Ray, Santanu 2 2023 A novel study based on shifted Jacobi polynomials to find the numerical solutions of nonlinear stochastic differential equations driven by fractional Brownian motion. Zbl 1522.65014 Singh, P. K.; Saha Ray, S. 2 2023 Bilinear representation, bilinear Bäcklund transformation, Lax pair and analytical solutions for the fourth-order potential Ito equation describing water waves via Bell polynomials. Zbl 1526.35105 Singh, Shailendra; Saha Ray, S. 2 2024 Comparison for accurate solutions of nonlinear Hammerstein fuzzy integral equations. Zbl 1355.65184 Sahu, Prakash Kumar; Ray, Santanu Saha 1 2016 New soliton and periodic wave solutions to the fractional DGH equation describing water waves in a shallow regime. Zbl 07622853 Saha Ray, S. 1 2022 Homotopy analysis method for solving fractional diffusion equation. Zbl 1252.65174 Das, S.; Vishal, K.; Gupta, P. K.; Saha Ray, S. 1 2011 Wavelet-Galerkin method for the solution of shear wave equation. Zbl 1401.65111 Saha Ray, S.; Dandapat, A. 1 2013 On a wavelet-based numerical method for linear and nonlinear fractional Volterra integro-differential equations with weakly singular kernels. Zbl 1513.65512 Behera, Srikanta; Saha Ray, Santanu 1 2022 Stochastic integral and differential equations in mathematical modelling. Zbl 1512.60001 Saha Ray, Santanu 1 2023 A novel method with convergence analysis based on the Jacobi wavelets for solving a system of two-dimensional Volterra integral equations. Zbl 1524.65959 Behera, S.; Saha Ray, S. 1 2023 Bilinear representation, bilinear Bäcklund transformation, Lax pair and analytical solutions for the fourth-order potential Ito equation describing water waves via Bell polynomials. Zbl 1526.35105 Singh, Shailendra; Saha Ray, S. 2 2024 A localized meshfree technique for solving fractional Benjamin-Ono equation describing long internal waves in deep stratified fluids. Zbl 07693652 Sagar, B.; Saha Ray, S. 5 2023 An efficient numerical method based on Lucas polynomials to solve multi-dimensional stochastic Itô-Volterra integral equations. Zbl 1540.65568 Singh, P. K.; Saha Ray, S. 4 2023 Shifted Chebyshev spectral Galerkin method to solve stochastic Itô-Volterra integral equations driven by fractional Brownian motion appearing in mathematical physics. Zbl 1538.65623 Singh, P. K.; Saha Ray, S. 3 2023 New analytic solutions for fluid flow equations in higher dimensions around an offshore structure describing bidirectional wave surfaces. Zbl 1518.35185 Singh, Shailendra; Saha Ray, Santanu 2 2023 A novel study based on shifted Jacobi polynomials to find the numerical solutions of nonlinear stochastic differential equations driven by fractional Brownian motion. Zbl 1522.65014 Singh, P. K.; Saha Ray, S. 2 2023 Stochastic integral and differential equations in mathematical modelling. Zbl 1512.60001 Saha Ray, Santanu 1 2023 A novel method with convergence analysis based on the Jacobi wavelets for solving a system of two-dimensional Volterra integral equations. Zbl 1524.65959 Behera, S.; Saha Ray, S. 1 2023 An efficient numerical method based on Euler wavelets for solving fractional order pantograph Volterra delay-integro-differential equations. Zbl 1491.65054 Behera, S.; Saha Ray, S. 11 2022 Numerical solution of fractional Dullin-Gottwald-Holm equation for solitary shallow water waves. Zbl 1533.65200 Saha Ray, Santanu; Sagar, B. 4 2022 Two reliable methods for numerical solution of nonlinear stochastic Itô-Volterra integral equation. Zbl 1498.60188 Singh, Priya; Saha Ray, Santanu 3 2022 New abundant analytic solutions for generalized KdV6 equation with time-dependent variable coefficients using Painlevé analysis and auto-Bäcklund transformation. Zbl 1539.35221 Singh, Shailendra; Saha Ray, S. 3 2022 Two-dimensional wavelets scheme for numerical solutions of linear and nonlinear Volterra integro-differential equations. Zbl 1540.65542 Behera, S.; Saha Ray, S. 2 2022 Numerical solution of fractional Kersten-Krasil’shchik coupled KdV-mKdV system arising in shallow water waves. Zbl 1513.35137 Sagar, B.; Saha Ray, S. 2 2022 New soliton and periodic wave solutions to the fractional DGH equation describing water waves in a shallow regime. Zbl 07622853 Saha Ray, S. 1 2022 On a wavelet-based numerical method for linear and nonlinear fractional Volterra integro-differential equations with weakly singular kernels. Zbl 1513.65512 Behera, Srikanta; Saha Ray, Santanu 1 2022 Numerical solution of stochastic Itô-Volterra integral equation by using shifted Jacobi operational matrix method. Zbl 1510.65329 Saha Ray, S.; Singh, P. 14 2021 A new approach by two-dimensional wavelets operational matrix method for solving variable-order fractional partial integro-differential equations. Zbl 1535.65295 Saha Ray, Santanu 12 2021 Euler wavelets method for solving fractional-order linear Volterra-Fredholm integro-differential equations with weakly singular kernels. Zbl 1476.65335 Behera, S.; Saha Ray, S. 9 2021 New various multisoliton kink-type solutions of the (1 +1)-dimensional Mikhailov-Novikov-Wang equation. Zbl 1479.35213 Ray, Santanu Saha; Singh, Shailendra 9 2021 New stochastic operational matrix method for solving stochastic Itô-Volterra integral equations characterized by fractional Brownian motion. Zbl 1472.60110 Saha Ray, S.; Singh, S. 5 2021 Numerical treatment for Burgers-Fisher and generalized Burgers-Fisher equations. Zbl 1473.65201 Kumar, S.; Saha Ray, S. 4 2021 Numerical soliton solutions of fractional \((2 + 1)\)-dimensional Nizhnik-Novikov-Veselov equations in nonlinear optics. Zbl 1462.78022 Sagar, B.; Saha Ray, S. 4 2021 Similarity solutions for Keller-Segel model with fractional diffusion of cells. Zbl 1471.35307 Ray, Santanu Saha 2 2021 New soliton solutions of the time fractional Drinfeld-Sokolov-Satsuma-Hirota system in dispersive water waves. Zbl 1484.35130 Ray, Santanu Saha; Giri, Subodha 2 2021 Nonlinear differential equations in physics. Novel methods for finding solutions. Zbl 1445.35010 Saha Ray, Santanu 18 2020 Lie symmetry analysis, symmetry reductions with exact solutions, and conservation laws of \((2+1)\)-dimensional Bogoyavlenskii-Schieff equation of higher order in plasma physics. Zbl 1477.35225 Ray, Santanu Saha; Vinita 5 2020 A stochastic operational matrix method for numerical solutions of mixed stochastic Volterra-Fredholm integral equations. Zbl 1462.60071 Singh, S.; Saha Ray, Santanu 3 2020 Invariant analysis with conservation law of time fractional coupled Ablowitz-Kaup-Newell-Segur equations in water waves. Zbl 1504.35625 Sahoo, S.; Saha Ray, S. 3 2020 New optical soliton solutions of nolinear evolution equation describing nonlinear dispersion. Zbl 1455.35046 Owyed, Saud; Abdou, M. A.; Abdel-Aty, Abdel-Haleem; Saha Ray, S. 11 2019 A new numerical approach for single rational soliton solution of Chen-Lee-Liu equation with Riesz fractional derivative in optical fibers. Zbl 1472.65130 Ray, Santanu Saha 5 2019 Stochastic operational matrix of Chebyshev wavelets for solving multi-dimensional stochastic Itô-Volterra integral equations. Zbl 1426.60061 Singh, Soumyendra; Saha Ray, Santanu 5 2019 Generalized fractional order differential equations arising in physical models. Zbl 1435.35005 Saha Ray, Santanu; Sahoo, Subhadarshan 5 2019 A novel approach for stochastic solutions of Wick-type stochastic time-fractional Benjamin-Bona-Mahony equation for modeling long surface gravity waves of small amplitude. Zbl 1414.60048 Sahoo, S.; Saha Ray, S. 3 2019 A novel method for new solutions of time fractional \((1+2)\)-dimensional nonlinear Schrödinger equation involving dual-power law nonlinearity. Zbl 1428.35536 Saha Ray, S. 2 2019 Wavelet methods for solving partial differential equations and fractional differential equations. Zbl 1386.65008 Saha Ray, Santanu; Gupta, Arun Kumar 19 2018 Invariant analysis and conservation laws of \((2+1)\) dimensional time-fractional ZK-BBM equation in gravity water waves. Zbl 1409.35226 Saha Ray, S.; Sahoo, S. 18 2018 Comparison on wavelets techniques for solving fractional optimal control problems. Zbl 1400.93124 Sahu, P. K.; Saha Ray, S. 14 2018 Invariant analysis and conservation laws for the time fractional \((2+1)\)-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis. Zbl 1442.35013 Saha Ray, S. 9 2018 Numerical solutions of stochastic Volterra-Fredholm integral equations by hybrid Legendre block-pulse functions. Zbl 1401.65015 Saha Ray, S.; Singh, S. 9 2018 Lie symmetries analysis and conservation laws for the fractional Calogero-Degasperis-Ibragimov-Shabat equation. Zbl 1499.35040 Sahoo, S.; Saha Ray, S. 5 2018 An investigation on reliable analytical and numerical methods for the Riesz fractional nonlinear Schrödinger equation in quantum mechanics. Zbl 1407.65127 Ray, Santanu Saha 4 2018 The new complex rational function prototype structures for the nonlinear Schrödinger-inviscid Burgers system. Zbl 1402.35262 Ray, Santanu Saha 2 2018 Lie symmetry analysis for similarity reduction and exact solutions of modified KdV-Zakharov-Kuznetsov equation. Zbl 1384.37086 Sahoo, S.; Garai, G.; Saha Ray, S. 30 2017 Lie symmetry analysis and exact solutions of \((3+1)\) dimensional Yu-Toda-Sasa-Fukuyama equation in mathematical physics. Zbl 1368.34048 Sahoo, S.; Saha Ray, S. 29 2017 A new Bernoulli wavelet method for accurate solutions of nonlinear fuzzy Hammerstein-Volterra delay integral equations. Zbl 1370.65082 Sahu, P. K.; Saha Ray, S. 22 2017 On the solitary wave solution of fractional Kudryashov-Sinelshchikov equation describing nonlinear wave processes in a liquid containing gas bubbles. Zbl 1411.35271 Gupta, A. K.; Saha Ray, S. 15 2017 Two-dimensional Legendre wavelet method for travelling wave solutions of time-fractional generalized seventh order KdV equation. Zbl 1412.65166 Saha Ray, S.; Gupta, A. K. 14 2017 New double-periodic solutions of fractional Drinfeld-Sokolov-Wilson equation in shallow water waves. Zbl 1380.34021 Sahoo, S.; Saha Ray, Santanu 10 2017 The new exact solutions of variant types of time fractional coupled Schrödinger equations in plasma physics. Zbl 1488.35575 Sahoo, Subhadarshan; Ray, Santanu Saha 6 2017 A new Bernoulli wavelet method for numerical solutions of nonlinear weakly singular Volterra integro-differential equations. Zbl 1404.65332 Sahu, P. K.; Saha Ray, S. 4 2017 The transport dynamics in complex systems governing by anomalous diffusion modelled with Riesz fractional partial differential equations. Zbl 1380.65177 Ray, Santanu Saha 3 2017 A novel approach with time-splitting spectral technique for the coupled Schrödinger-Boussinesq equations involving Riesz fractional derivative. Zbl 1377.35277 Saha Ray, S. 3 2017 Two-dimensional Chebyshev wavelet method for Camassa-Holm equation with Riesz fractional derivative describing propagation of shallow water waves. Zbl 1436.65147 Gupta, A. K.; Saha Ray, S. 2 2017 New exact solutions for the Wick-type stochastic Zakharov-Kuznetsov equation for modelling waves on shallow water surfaces. Zbl 1365.60061 Saha Ray, S.; Singh, S. 2 2017 Fractional calculus with applications for nuclear reactor dynamics. Zbl 1317.00002 Saha Ray, Santanu 29 2016 New exact solutions of nonlinear fractional acoustic wave equations in ultrasound. Zbl 1359.35218 Saha Ray, S. 27 2016 Solitary wave solutions for time fractional third order modified KdV equation using two reliable techniques \((G^{\prime} / G)\)-expansion method and improved \((G^{\prime} / G)\)-expansion method. Zbl 1400.35204 Sahoo, S.; Saha Ray, S. 22 2016 New solitary wave solutions of time-fractional coupled Jaulent-Miodek equation by using two reliable methods. Zbl 1355.35036 Sahoo, S.; Saha Ray, S. 14 2016 Legendre spectral collocation method for the solution of the model describing biological species living together. Zbl 1328.45011 Sahu, P. K.; Saha Ray, S. 12 2016 Comparative experiment on the numerical solutions of Hammerstein integral equation arising from chemical phenomenon. Zbl 1329.45005 Sahu, P. K.; Saha Ray, S. 7 2016 Sinc-Galerkin technique for the numerical solution of fractional Volterra-Fredholm integro-differential equations with weakly singular kernels. Zbl 1401.65153 Sahu, P. K.; Saha Ray, S. 7 2016 Numerical analysis with algorithms and programming. Zbl 1359.65002 Saha Ray, Santanu 6 2016 Comparison of two reliable analytical methods based on the solutions of fractional coupled Klein-Gordon-Zakharov equations in plasma physics. Zbl 1432.35230 Saha Ray, S.; Sahoo, S. 6 2016 Comparison for accurate solutions of nonlinear Hammerstein fuzzy integral equations. Zbl 1355.65184 Sahu, Prakash Kumar; Ray, Santanu Saha 1 2016 Improved fractional sub-equation method for \((3+1)\)-dimensional generalized fractional KdV-Zakharov-Kuznetsov equations. Zbl 1443.35173 Sahoo, S.; Saha Ray, S. 47 2015 Numerical treatment for the solution of fractional fifth-order Sawada-Kotera equation using second kind Chebyshev wavelet method. Zbl 1443.65244 Gupta, A. K.; Saha Ray, S. 28 2015 New exact solutions of fractional Zakharov-Kuznetsov and modified Zakharov-Kuznetsov equations using fractional sub-equation method. Zbl 1305.35153 Saha Ray, S.; Sahoo, S. 20 2015 Two-dimensional Legendre wavelet method for the numerical solutions of fuzzy integro-differential equations. Zbl 1351.45009 Kumar Sahu, Prakash; Saha Ray, Santanu 17 2015 Legendre spectral collocation method for Fredholm integro-differential-difference equation with variable coefficients and mixed conditions. Zbl 1410.65287 Sahu, P. K.; Saha Ray, S. 15 2015 New approach to find exact solutions of time-fractional Kuramoto-Sivashinsky equation. Zbl 1400.35225 Sahoo, S.; Saha Ray, S. 14 2015 A comparative study on the analytic solutions of fractional coupled sine-Gordon equations by using two reliable methods. Zbl 1338.35480 Saha Ray, S.; Sahoo, S. 8 2015 Numerical solutions for Volterra integro-differential forms of Lane-Emden equations of first and second kind using Legendre multi-wavelets. Zbl 1314.65096 Sahu, Prakash Kumar; Ray, Santanu Saha 7 2015 Comparison between homotopy perturbation method and optimal homotopy asymptotic method for the soliton solutions of Boussinesq-Burger equations. Zbl 1391.76547 Gupta, A. K.; Saha Ray, S. 27 2014 Numerical solutions for the system of Fredholm integral equations of second kind by a new approach involving semiorthogonal B-spline wavelet collocation method. Zbl 1298.65196 Sahu, P. K.; Saha Ray, S. 18 2014 Haar wavelet operational methods for the numerical solutions of fractional order nonlinear oscillatory Van der Pol system. Zbl 1329.65174 Saha Ray, S.; Patra, A. 20 2013 Graph theory with algorithms and its applications. In applied science and technology. Zbl 1259.05037 Saha Ray, Santanu 4 2013 Numerical approximate solutions of nonlinear Fredholm integral equations of second kind using B-spline wavelets and variational iteration method. Zbl 1356.65266 Sahu, P. K.; Saha Ray, S. 4 2013 A new coupled fractional reduced differential transform method for solving time fractional coupled KdV equations. Zbl 1401.35321 Saha Ray, S. 3 2013 Wavelet-Galerkin method for the solution of shear wave equation. Zbl 1401.65111 Saha Ray, S.; Dandapat, A. 1 2013 On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation. Zbl 1359.65314 Saha Ray, S. 56 2012 Homotopy analysis method for solving fractional diffusion equation. Zbl 1252.65174 Das, S.; Vishal, K.; Gupta, P. K.; Saha Ray, S. 1 2011 Analytical solution for the space fractional diffusion equation by two-step Adomian decomposition method. Zbl 1221.65284 Ray, Santanu Saha 54 2009 A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends. Zbl 1147.65107 Ray, Santanu Saha 30 2008 An application of the modified decomposition method for the solution of the coupled Klein-Gordon-Schrödinger equation. Zbl 1221.65283 Ray, Santanu Saha 18 2008 Exact solutions for time-fractional diffusion-wave equations by decomposition method. Zbl 1197.35147 Ray, Santanu Saha 34 2007 Solution of the coupled Klein-Gordon Schrödinger equation using the modified decomposition method. Zbl 1394.35282 Ray, Santanu Saha 6 2007 Analytical solution of a fractional diffusion equation by Adomian decomposition method. Zbl 1089.65108 Saha Ray, S.; Bera, R. K. 53 2006 Analytical approximate solution of nonlinear dynamic system containing fractional derivative by modified decomposition method. Zbl 1108.65129 Saha Ray, S.; Chaudhuri, K. S.; Bera, R. K. 24 2006 Analytical solution of the Bagley-Torvik equation by Adomian decomposition method. Zbl 1109.65072 Saha Ray, S.; Bera, R. K. 72 2005 all cited Publications top 5 cited Publications all top 5 Cited by 1,301 Authors 63 Saha Ray, Santanu 40 Ray, Sumita Saha 19 Băleanu, Dumitru I. 13 Sahoo, Subhadarshan 12 Arqub, Omar Abu 12 Kumar, Mukesh 10 Dehghan Takht Fooladi, Mehdi 10 Gupta, Arun Kumar 9 Sahu, Prakash Kumar 7 Abdou, Mohamed Aly Mohamed 7 Aminikhah, Hossein 7 Avazzadeh, Zakieh 7 Gupta, Rajesh Kumar 7 Heydari, Mohammad Hossein 7 Kumar, Sunil 7 Macías-Díaz, Jorge Eduardo 7 Momani, Shaher M. 7 Singh, Priya 7 Singh, Vineet Kumar 7 Yang, Hongwei 6 Alquran, Marwan Taiseer 6 Esen, Alaattin 6 Khater, Mostafa M. A. 6 Ordokhani, Yadollah 6 Seadawy, Aly R. 6 Srivastava, Hari Mohan 6 Yang, Xiao-Jun 5 Abbasbandy, Saeid 5 Abdel-Aty, Abdel-Haleem 5 Akram, Ghazala 5 Al-Smadi, Mohammed H. 5 Arora, Rajan 5 Bekir, Ahmet 5 Bera, Rasajit K. 5 Bulut, Hasan 5 Gao, Xinyi 5 Mirzaee, Farshid 5 Owolabi, Kolade Matthew 5 Owyed, Saud 5 Singh, Soumyendra 5 Tanwar, Dig Vijay 5 Tasbozan, Orkun 5 Xu, Xiaoyong 4 Abdelkawy, Mohamed A. 4 Atangana, Abdon 4 Behera, Srikanta 4 Chu, Yuming 4 Das, Subir 4 Güner, Özkan 4 Huang, Jin 4 Inc, Mustafa 4 Ismael, Hajar Farhan 4 Jafari, Hossein 4 Jaradat, Imad 4 Korkmaz, Alper 4 Kumar, Sachin 4 Maayah, Banan 4 Maleknejad, Khosrow 4 Manafian Heris, Jalil 4 Odibat, Zaid M. 4 Öztürk, Yalçın 4 Patel, Vijay Kumar 4 Rahimkhani, Parisa 4 Razzaghi, Mohsen 4 Rezazadeh, Hadi 4 Sadat, Rahma 4 Singh, Somveer 4 Syam, Muhammed I. 4 ur Rehman, Mujeeb 4 Vinita 3 Abbas, Muhammad Mohsin 3 Afiatdoust, Farzaneh 3 Aghazadeh, Nasser 3 Akgül, Ali 3 Akinyemi, Lanre 3 Al-Denari, Rasha B. 3 Ali, Mohamed Reda 3 Babolian, Esmail 3 Bhrawy, Ali Hassan 3 Biswas, Anjan 3 Bruzón, Maria Santos 3 Bulut, Fatih 3 Cattani, Carlo 3 Chauhan, Antim 3 Eslahchi, Mohammad Reza 3 Ezzati, Reza 3 Gholami, Yousef 3 Gómez-Aguilar, José Francisco 3 Gülsu, Mustafa 3 Hesameddini, Esmail 3 Hosseini, Mohammad-Mehdi 3 Hou, Jianhua 3 Ilhan, Onur Alp 3 Jalilian, Reza 3 Kazem, Saeed 3 Khalique, Chaudry Masood 3 Khan, Rahmat Ali 3 Khosravian-Arab, Hassan 3 Kumam, Poom 3 Kumar, Devendra ...and 1,201 more Authors all top 5 Cited in 166 Serials 60 Mathematical Methods in the Applied Sciences 46 Applied Mathematics and Computation 39 International Journal of Applied and Computational Mathematics 35 Computers & Mathematics with Applications 32 Advances in Difference Equations 27 Chaos, Solitons and Fractals 26 Communications in Nonlinear Science and Numerical Simulation 25 Journal of Computational and Applied Mathematics 23 Computational and Applied Mathematics 20 Nonlinear Dynamics 17 Numerical Methods for Partial Differential Equations 17 International Journal of Computer Mathematics 16 Mathematical Problems in Engineering 13 Numerical Algorithms 12 Physica A 12 Mathematics and Computers in Simulation 12 Fractals 12 Mathematical Sciences 11 Qualitative Theory of Dynamical Systems 10 International Journal of Nonlinear Sciences and Numerical Simulation 10 Chinese Journal of Physics (Taipei) 9 Applied Numerical Mathematics 9 Waves in Random and Complex Media 8 International Journal of Modern Physics B 8 Journal of Applied Mathematics and Computing 8 International Journal of Geometric Methods in Modern Physics 8 S\(\vec{\text{e}}\)MA Journal 8 Journal of Applied Analysis and Computation 8 Journal of Function Spaces 8 Computational Methods for Differential Equations 7 Applied Mathematics Letters 7 Applied Mathematical Modelling 7 Abstract and Applied Analysis 7 Communications in Theoretical Physics 7 Advances in Mathematical Physics 7 AIMS Mathematics 6 Complexity 6 International Journal of Differential Equations 5 Computer Physics Communications 5 Mediterranean Journal of Mathematics 5 Boundary Value Problems 4 Journal of Mathematical Analysis and Applications 4 Engineering Analysis with Boundary Elements 4 Journal of Applied Mathematics 4 International Journal of Wavelets, Multiresolution and Information Processing 4 Tbilisi Mathematical Journal 3 Wave Motion 3 Journal of Geometry and Physics 3 Optimal Control Applications & Methods 3 Mathematical and Computer Modelling 3 Journal of Scientific Computing 3 Filomat 3 Journal of Mathematical Chemistry 3 Journal of Applied Analysis 3 Soft Computing 3 Fractional Calculus & Applied Analysis 3 Nonlinear Analysis. Modelling and Control 3 Computational Methods in Applied Mathematics 3 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 3 International Journal of Computational Methods 3 Discrete and Continuous Dynamical Systems. Series S 3 Symmetry 3 Asian Journal of Control 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 3 Results in Applied Mathematics 2 Applicable Analysis 2 International Journal of Theoretical Physics 2 Journal of Computational Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Fuzzy Sets and Systems 2 International Journal of Mathematics and Mathematical Sciences 2 Circuits, Systems, and Signal Processing 2 Stochastic Analysis and Applications 2 Acta Mathematicae Applicatae Sinica. English Series 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Applied Mathematics. Series B (English Edition) 2 Russian Journal of Mathematical Physics 2 Journal of Vibration and Control 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Discrete Dynamics in Nature and Society 2 Iranian Journal of Science and Technology. Transaction A: Science 2 South East Asian Journal of Mathematics and Mathematical Sciences 2 Hacettepe Journal of Mathematics and Statistics 2 Inverse Problems in Science and Engineering 2 Applications and Applied Mathematics 2 International Journal of Biomathematics 2 Journal of Mathematics and Computer Science. JMCS 2 Journal of Mathematical Extension 2 Applied Mathematics and Nonlinear Sciences 2 Journal of Computational and Theoretical Transport 1 Modern Physics Letters A 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Physics Letters. A 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Acta Mathematica Vietnamica 1 Demonstratio Mathematica 1 Mathematica Slovaca 1 Mechanics Research Communications ...and 66 more Serials all top 5 Cited in 44 Fields 484 Partial differential equations (35-XX) 433 Numerical analysis (65-XX) 161 Ordinary differential equations (34-XX) 156 Real functions (26-XX) 143 Integral equations (45-XX) 66 Fluid mechanics (76-XX) 45 Dynamical systems and ergodic theory (37-XX) 35 Probability theory and stochastic processes (60-XX) 26 Operator theory (47-XX) 23 Special functions (33-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 18 Statistical mechanics, structure of matter (82-XX) 18 Biology and other natural sciences (92-XX) 17 Approximations and expansions (41-XX) 14 Computer science (68-XX) 14 Mechanics of deformable solids (74-XX) 14 Systems theory; control (93-XX) 11 Optics, electromagnetic theory (78-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Integral transforms, operational calculus (44-XX) 8 Quantum theory (81-XX) 6 Mechanics of particles and systems (70-XX) 6 Geophysics (86-XX) 6 Operations research, mathematical programming (90-XX) 5 Number theory (11-XX) 5 Difference and functional equations (39-XX) 4 Combinatorics (05-XX) 4 Information and communication theory, circuits (94-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mathematics education (97-XX) 2 General and overarching topics; collections (00-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) Citations by Year