TY - JOUR AU - Liang, Xin AU - Gao, Feng AU - Gao, Ya-Nan AU - Yang, Xiao-Jun PY - 2017 TI - Applications of a novel integral transform to partial differential equations JO - Journal of Nonlinear Sciences and Applications SP - 528--534 VL - 10 IS - 2 AB - In this paper, we establish and perfect the dualities among the Laplace transform (LT), Laplace-Carson transform (LCT), Sumudu transform (ST), and a novel integral transform (NIT). In addition, some novel properties of the NIT are explored and the NIT is applied to solve some partial differential equations (PDEs). SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.010.02.18 DO - 10.22436/jnsa.010.02.18 ID - Liang2017 ER - TY - JOUR TI - Sumudu transform and the solution of integral equations of convolution type AU - M. A. Asiru JO - Internat. J. Math. Ed. Sci. Tech. PY - 2001 DA - 2001// VL - 32 ID - Asiru2001 ER - TY - JOUR TI - Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller-Segel equations AU - A. Atangana JO - Appl. Math. Model. PY - 2015 DA - 2015// VL - 39 ID - Atangana2015 ER - TY - JOUR TI - On the new fractional derivative and application to nonlinear Fisher’s reaction-diffusion equation AU - A. Atangana JO - Appl. Math. Comput. PY - 2016 DA - 2016// VL - 273 ID - Atangana2016 ER - TY - JOUR TI - Modelling the advancement of the impurities and the melted oxygen concentration within the scope of fractional calculus AU - A. Atangana AU - D. Baleanu JO - Int. J. Nonlin. Mech. PY - 2014 DA - 2014// VL - 67 ID - Atangana2014 ER - TY - BOOK TI - Fourier and Laplace transforms AU - R. J. Beerends AU - H. G. ter Morsche AU - J. C. van den Berg AU - E. M. van de Vrie PB - Translated from the 1992 Dutch edition by Beerends, Cambridge University Press PY - 2003 DA - 2003// CY - Cambridge ID - Beerends2003 ER - TY - JOUR TI - Analytical investigations of the Sumudu transform and applications to integral production equations AU - F. B. M. Belgacem AU - A. A. Karaballi AU - S. L. Kalla JO - Math. Probl. Eng. PY - 2003 DA - 2003// VL - 58 ID - Belgacem2003 ER - TY - BOOK TI - Integral transforms and their applications AU - L. Debnath AU - D. Bhatta PB - Third edition, CRC Press, Boca Raton PY - 2015 DA - 2015// CY - FL ID - Debnath2015 ER - TY - JOUR TI - Analytical and numerical inversion of the Laplace-Carson transform by a differential method AU - C. Donolato JO - Comput. Phys. Comm. PY - 2002 DA - 2002// VL - 145 ID - Donolato2002 ER - TY - JOUR TI - A note on solutions of wave, Laplace’s and heat equations with convolution terms by using a double Laplace transform AU - H. Eltayeb AU - A. Kılıçman JO - Appl. Math. Lett. PY - 2008 DA - 2008// VL - 21 ID - Eltayeb2008 ER - TY - BOOK TI - Applied Laplace transforms and z-transforms for scientists and engineers AU - U. Graf PB - A computational approach using a Mathematica package, With 1 CD-ROM (Windows and LINUX), Birkhäuser Verlag PY - 2004 DA - 2004// CY - Basel ID - Graf2004 ER - TY - JOUR TI - Analytic solution for American strangle options using Laplace–Carson transforms AU - M.-J. Kang AU - J.-K. Jeon AU - H.-J. Han AU - S.-M. Lee JO - Commun. Nonlinear Sci. Numer. Simul. PY - 2017 DA - 2017// VL - 47 ID - Kang2017 ER - TY - JOUR TI - Further analysis on classifications of PDE(s) with variable coefficients AU - A. Kılıçman AU - H. Eltayeb AU - R. R. Ashurov JO - Appl. Math. Lett. PY - 2010 DA - 2010// VL - 23 ID - Kılıçman2010 ER - TY - JOUR TI - Approximate solutions of nonstationary junction heat-exchange problems for laminar fluid flow in channels AU - V. A. Kudinov JO - J. Eng. Phy. Thermophys. PY - 1986 DA - 1986// VL - 51 ID - Kudinov1986 ER - TY - BOOK TI - Handbook of exact solutions for ordinary differential equations AU - A. D. Polyanin AU - V. F. Zaitsev PB - CRC Press, Boca Raton PY - 1995 DA - 1995// CY - FL ID - Polyanin1995 ER - TY - JOUR TI - Sumudu transform: a new integral transform to solve differential equations and control engineering problems AU - G. K. Watugala JO - Internat. J. Math. Ed. Sci. Tech. PY - 1993 DA - 1993// VL - 24 ID - Watugala1993 ER - TY - JOUR TI - Application of Sumudu transform to partial differential equations AU - S. Weerakoon JO - Internat. J. Math. Ed. Sci. Tech. PY - 1994 DA - 1994// VL - 25 ID - Weerakoon 1994 ER - TY - JOUR TI - A new integral transform with an application in heat-transfer problem AU - X.-J. Yang JO - Therm. Sci. PY - 2016 DA - 2016// VL - 20 ID - Yang2016 ER - TY - JOUR TI - A new integral transform operator for solving the heat-diffusion problem AU - X.-J. Yang JO - Appl. Math. Lett. PY - 2017 DA - 2017// VL - 64 ID - Yang2017 ER - TY - JOUR TI - On a fractal LC-electric circuit modeled by local fractional calculus AU - X.-J. Yang AU - J. T. Machado AU - C. Cattani AU - F. Gao JO - Commun. Nonlinear Sci. Numer. Simul. PY - 2017 DA - 2017// VL - 47 ID - Yang2017 ER -