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International Journal of Mathematical Education in Science and Technology Volume 33, 2002 - Issue 3
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Original Articles

Further properties of the Sumudu transform and its applications

Muniru Aderemi Asiru
Pages 441-449 | Received 09 Jul 2002, Published online: 06 Aug 2010

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Hassan Zaidan Mjthap & Saad Naji Al-Azzawi. (2019) Some properties of Sumudu transformation. Journal of Interdisciplinary Mathematics 22:8, pages 1543-1547.
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Muniru Aderemi Asiru. (2003) Classroom note: Application of the Sumudu transform to discrete dynamic systems . International Journal of Mathematical Education in Science and Technology 34:6, pages 944-949.
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Articles from other publishers (59)

Arunachalam Selvam, Sriramulu Sabarinathan, Kottakkaran Sooppy Nisar, Chokkalingam Ravichandran & Beri Venkatachalapathy Senthil Kumar. (2023) Results on Ulam‐type stability of linear differential equation with integral transform. Mathematical Methods in the Applied Sciences 47:4, pages 2311-2323.
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Hassan Eltayeb. (2023) Application of Double Sumudu-Generalized Laplace Decomposition Method for Solving 21-Pseudoparabolic Equation. Axioms 12:8, pages 799.
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Shabir Ahmad, Aman Ullah, Abd Ullah & Ngo Van Hoa. (2023) Fuzzy natural transform method for solving fuzzy differential equations. Soft Computing 27:13, pages 8611-8625.
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Mamta Kapoor. (2023) Analytical Approach for Solution of Linear and Non-linear Time-Fractional Schrödinger’s Equations by Employing Sumudu Transform Iterative Method. International Journal of Applied and Computational Mathematics 9:3.
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Amit Prakash, Vijay Verma & Dumitru Baleanu. (2023) Two Novel Methods for Fractional Nonlinear Whitham–Broer–Kaup Equations Arising in Shallow Water. International Journal of Applied and Computational Mathematics 9:3.
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Mamta Kapoor & Varun Joshi. (2023) A comparative study of Sumudu HPM and Elzaki HPM for coupled Burgers’ equation. Heliyon 9:5, pages e15726.
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ESRA KARATAS AKGÜL, WASIM JAMSHED, SHERZOD SHUKHRATOVICH ABDULLAEV, FETHI BIN MUHAMMED BELGACEM & SAYED M. EL DIN. (2023) COMPUTATIONAL SOLUTIONS OF FRACTIONAL ELECTRIC SYMMETRIC CIRCUITS BY SUMUDU TRANSFORMATION. Fractals 31:10.
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Razika Ettoussi, Said Melliani & Lalla Saadia Chadli. 2023. Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization. Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization 356 367 .
Esra Karatas Akgül, Ali Akgül, Wasim Jamshed, Zulfiqar Rehman, Kottakkaran Sooppy Nisar, Mohammed S. Alqahtani & Mohamed Abbas. (2022) Analysis of respiratory mechanics models with different kernels. Open Physics 20:1, pages 609-615.
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Muhammad Arfan, Kamal Shah, Aman Ullah, Soheil Salahshour, Ali Ahmadian & Massimiliano Ferrara. (2022) A novel semi-analytical method for solutions of two dimensional fuzzy fractional wave equation using natural transform. Discrete & Continuous Dynamical Systems - S 15:2, pages 315.
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Mohammed S. Mechee & Ali N. Al-Mousawi. A study of approximated solutions of fuzzy differential equations using fuzzy sumudu transform. A study of approximated solutions of fuzzy differential equations using fuzzy sumudu transform.
Amit Prakash, Hardish Kaur, Rahul & Manish Goyal. 2022. Control and Measurement Applications for Smart Grid. Control and Measurement Applications for Smart Grid 383 395 .
Sandip M. Sonawane & S. B. Kiwne. 2022. Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy. Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy 129 139 .
Jing Chang, Jin Zhang & Ming Cai. (2021) Series Solutions of High-Dimensional Fractional Differential Equations. Mathematics 9:17, pages 2021.
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Manish Goyal, Amit Prakash & Shivangi Gupta. (2021) An Efficient Perturbation Sumudu Transform Technique for the Time-Fractional Vibration Equation with a Memory Dependent Fractional Derivative in Liouville–Caputo Sense. International Journal of Applied and Computational Mathematics 7:4.
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Uğur DURAN. (2021) Modified Sumudu Transform and Its Properties. Sakarya University Journal of Science 25:2, pages 389-396.
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A. A. Soliman, K. R. Raslan & A. M. Abdallah. (2021) On Some Modified Methods on Fractional Delay and Nonlinear Integro-Differential Equation. Sound&Vibration 55:4, pages 263-279.
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Amit Prakash, Manish Goyal, Haci Mehmet Baskonus & Shivangi Gupta. (2020) A reliable hybrid numerical method for a time dependent vibration model of arbitrary order. AIMS Mathematics 5:2, pages 979-1000.
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. (2020) SECURITY IN COMMUNICATION BY USING SUMUDU TRANSFORMS AND CRYPTOGRAPHY. International Journal of Engineering Sciences & Research Technology 9:12, pages 1-4.
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Kamran Zakaria & Saeed Hafeez. (2020) Options Pricing for Two Stocks by Black – Sholes Time Fractional Order Non – Linear Partial Differential Equation. Options Pricing for Two Stocks by Black – Sholes Time Fractional Order Non – Linear Partial Differential Equation.
Vijay Verma, Amit Prakash, Devendra Kumar & Jagdev Singh. (2019) Numerical study of fractional model of multi-dimensional dispersive partial differential equation. Journal of Ocean Engineering and Science 4:4, pages 338-351.
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Amit Goswami, Jagdev Singh, Devendra Kumar, Sumit Gupta & Sushila. (2019) An efficient analytical technique for fractional partial differential equations occurring in ion acoustic waves in plasma. Journal of Ocean Engineering and Science 4:2, pages 85-99.
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Alireza K. Golmankhaneh & Cemil Tunç. (2019) Sumudu transform in fractal calculus. Applied Mathematics and Computation 350, pages 386-401.
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Rajarama Mohan Jena & S. Chakraverty. (2019) Analytical solution of Bagley-Torvik equations using Sumudu transformation method. SN Applied Sciences 1:3.
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Amit Prakash, Manoj Kumar & Dumitru Baleanu. (2018) A new iterative technique for a fractional model of nonlinear Zakharov–Kuznetsov equations via Sumudu transform. Applied Mathematics and Computation 334, pages 30-40.
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P. Agarwal, S.K. Ntouyas, S. Jain, M. Chand & G. Singh. (2018) Fractional kinetic equations involving generalized k-Bessel function via Sumudu transform. Alexandria Engineering Journal 57:3, pages 1937-1942.
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Raheleh Jafari & Sina Razvarz. (2018) Solution of Fuzzy Differential Equations Using Fuzzy Sumudu Transforms. Mathematical and Computational Applications 23:1, pages 5.
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. 2018. The Classical Stefan Problem. The Classical Stefan Problem 683 716 .
S.C. Gupta. 2018. The Classical Stefan Problem. The Classical Stefan Problem 311 663 .
Trushit Patel & Ramakanta Meher. (2016) Adomian Decomposition Sumudu Transform Method for Convective Fin with Temperature-Dependent Internal Heat Generation and Thermal Conductivity of Fractional Order Energy Balance Equation. International Journal of Applied and Computational Mathematics 3:3, pages 1879-1895.
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Raheleh Jafari & Sina Razvarz. (2017) Solution of fuzzy differential equations using fuzzy Sumudu transforms. Solution of fuzzy differential equations using fuzzy Sumudu transforms.
Jin Zhang, Ming Cai, Bochao Chen & Hui Wei. (2017) Homotopy Series Solutions to Time-Space Fractional Coupled Systems. Discrete Dynamics in Nature and Society 2017, pages 1-19.
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Hassan Eltayeb & Eltayeb Abdeldaim. (2017) Sumudu Decomposition Method for Solving Fractional Delay Differential Equations. Research in Applied Mathematics 1.
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Ahmed Bokhari & Fethi Bin Muhammad Belgacem. Applications of the Sumudu transform to Bernoulli numbers and polynomials. Applications of the Sumudu transform to Bernoulli numbers and polynomials.
A. Patra & S. Saha Ray. (2016) Analysis for fin efficiency with temperature-dependent thermal conductivity of fractional order energy balance equation using HPST Method. Alexandria Engineering Journal 55:1, pages 77-85.
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Norazrizal Rahman & Muhammad Ahmad. (2015) Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential Equations. Entropy 17:12, pages 4582-4601.
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Seyma Tuluce Demiray, Hasan Bulut & Fethi Bin Muhammad Belgacem. (2015) Sumudu Transform Method for Analytical Solutions of Fractional Type Ordinary Differential Equations. Mathematical Problems in Engineering 2015, pages 1-6.
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A. Patra & S. Saha Ray. (2014) Homotopy perturbation sumudu transform method for solving convective radial fins with temperature-dependent thermal conductivity of fractional order energy balance equation. International Journal of Heat and Mass Transfer 76, pages 162-170.
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S. K. Q. Al-Omari. (2014) On the Sumudu Transform and Its Extension to a Class of Boehmians. ISRN Mathematical Analysis 2014, pages 1-6.
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Sushila, Jagdev Singh & Y.S. Shishodia. (2014) A reliable approach for two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability using sumudu transform. Ain Shams Engineering Journal 5:1, pages 237-242.
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H. M. Srivastava, Alireza Khalili Golmankhaneh, Dumitru Baleanu & Xiao-Jun Yang. (2014) Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets. Abstract and Applied Analysis 2014, pages 1-7.
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Sushila & Y. S. Shishodia. 2014. Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012. Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012 287 294 .
Shrideh Khalaf Qasem Al-Omari & Adem Kılıçman. (2013) An estimate of Sumudu transforms for Boehmians. Advances in Difference Equations 2013:1.
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J. Jagan Mohan & G.V.S.R. Deekshitulu. (2013) Solutions of fractional difference equations using S-transforms. Malaya Journal of Matematik 1:03, pages 7-13.
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Jagdev Singh, Devendra Kumar & A. Kılıçman. (2013) Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform. Abstract and Applied Analysis 2013, pages 1-8.
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Abdon Atangana & Adem Kılıçman. (2013) The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations. Abstract and Applied Analysis 2013, pages 1-12.
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Devendra Kumar, Jagdev Singh & A. Kılıçman. (2013) An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform. Abstract and Applied Analysis 2013, pages 1-8.
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Asma Ali Elbeleze, Adem Kılıçman & Bachok M. Taib. (2013) Homotopy Perturbation Method for Fractional Black-Scholes European Option Pricing Equations Using Sumudu Transform. Mathematical Problems in Engineering 2013, pages 1-7.
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Hasan Bulut, Haci Mehmet Baskonus & Fethi Bin Muhammad Belgacem. (2013) The Analytical Solution of Some Fractional Ordinary Differential Equations by the Sumudu Transform Method. Abstract and Applied Analysis 2013, pages 1-6.
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Kejie Li & Yanzhao Xie. (2012) A brief introduction of Sumudu transform and comparison with other integral transforms. A brief introduction of Sumudu transform and comparison with other integral transforms.
Adem Kiliçman & Hassan Eltayeb. (2012) Some Remarks on the Sumudu and Laplace Transforms and Applications to Differential Equations. ISRN Applied Mathematics 2012, pages 1-13.
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Hassan Eltayeb & Adem Kılıçman. (2012) Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations. Abstract and Applied Analysis 2012, pages 1-13.
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Fahd Jarad & Kenan Taş. (2012) On Sumudu Transform Method in Discrete Fractional Calculus. Abstract and Applied Analysis 2012, pages 1-16.
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A. Kılıcman & H.E. Gadain. (2010) On the applications of Laplace and Sumudu transforms. Journal of the Franklin Institute 347:5, pages 848-862.
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A. Kiliçman & H. Eltayeb. (2010) On a New Integral Transform and Differential Equations. Mathematical Problems in Engineering 2010, pages 1-13.
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V. G. Gupta, Bhavna Shrama & Adem Kiliçman. (2010) A Note on Fractional Sumudu Transform. Journal of Applied Mathematics 2010, pages 1-9.
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Malek G. M. Hussain & Fethi Bin Muhammed Belgacern. (2007) TRANSIENT SOLUTIONS OF MAXWELL'S EQUATIONS BASED ON SUMUDU TRANSFORM. Progress In Electromagnetics Research 74, pages 273-289.
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Fethi Bin Muhammed Belgacem & Ahmed Abdullatif Karaballi. (2006) Sumudu transform fundamental properties investigations and applications. Journal of Applied Mathematics and Stochastic Analysis 2006, pages 1-23.
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