Volume 69 | Issue 5 | Year 2023 | Article Id. IJMTT-V69I5P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I5P504
R. Aruldoss, G. Jasmine, "A new fractional integral transform and its applications," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 5, pp. 36-53, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I5P504
[1] Alsaedi, A., Nieto, J. J., & Venktesh, V. (2015). Fractional electrical circuits.Advances in Mechanical Engineering, 7(12).
[2] Aruldoss, R., & Balaji, K. (2023). A Wavelet-Based collocation method for fractional Cahn-Allen equations. Journal of Fractional Calculus and Applications, 14(1), 26-35.
[3] Aruldoss, R., & Devi, R. A. (2020). A generalized fractional integral transform with exponential type kernel. Malaya Journal of Matematik (MJM), 8(2, 2020), 544-550.
[4] Aruldoss, R., & Jasmine, G. (2020). Numerical Solutions of Time Fractional Nonlinear Partial Differential Equations Using Yang Transform Combined with Variational Iteration Method. Global Journal of Pure and Applied Mathematics, 16(2), 249-260.
[5] ARULDOSS, R., & JASMINE, G. (2022). A NOVEL ANALYTICAL APPROACH FOR SOLVING NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER.
[6] Dattu, M. K. U. (2018). New integral transform: Fundamental properties, investigations and applications. IAETSD Journal for Advanced Research in Applied Sciences, 5(4), 534-539.
[7] Debnath, L., & Bhatta, D. (2016). Integral transforms and their applications. Chapman and Hall/CRC.
[8] Daftardar-Gejji, V. (Ed.). (2019). Fractional Calculus and Fractional Differential Equations. Springer Singapore.
[9] Gupta, V. G., Shrama, B., & Kiliman, A. (2010). A note on fractional Sumudu transform. Journal of Applied Mathematics, 2010.
[10] Jumarie G., (2009) Laplaces transform of fractional order via the MittagLeffler function and modified RiemannLiouville derivative, Applied mathematics letter,vol.22 no.11,pp.1659-1664.
[11] Jumarie G.,(2008) Fouriers transform of fractional order via the Mittag Leffler function and modified RiemannLiouville derivative, J. Appl. Math. & Informatics, 26 (5-6).
[12] Loonker, D., & Banerji, P. K. (2017). Fractional Tarig transform and Mittag-Leffler function. Boletim da Sociedade Paranaense de Matemtica, 35(2), 83-92.
[13] Luchko, Y. (2019). Fractional Fourier transform. Handbook of Fractional Calculus with Applications, 1.
[14] Miller, K. S., & Ross, B. (1993)An introduction to the fractional calculus and fractional differential equations. Wiley.
[15] Milici, C., Drgnescu, G., & Machado, J. T. (2018).Introduction to fractional differential equations (Vol. 25). Springer.
[16] Mousa, A. (2019). On the fractional triple Elzaki transform and its properties.Bulletin of Pure and Applied Sciences Section - E - Mathematics & Statistics.38E(2), 641649.
[17] Omran, M., & Kiliman, A. (2017, January) Fractional double Laplace transform and its properties. In AIP Conference Proceedings (Vol. 1795, No. 1, p. 020021). AIP Publishing LLC. 17
[18] Omran, M., & Kiliman, A. (2016). Natural transform of fractional order and some properties.Cogent Mathematics, 3(1), 1251874.
[19] Pathak, R. S. (2017). Integral transforms of generalized functions and their applications. Routledge.
[20] Podlubny, I. (1998). Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. Elsevier.
[21] Sun, Z. Z., & Gao, G. H. (2020). Fractional differential equations. In Fractional Differential Equations. De Gruyter.
[22] Yang, X. J. (2016). A new integral transform method for solving steady heat-transfer problem. Thermal Science, 20(suppl. 3), 639-642.
[23] Yang, X. J. (2019).General fractional derivatives: theory, methods and applications. Chapman and Hall/CRC.
[24] Yang, X. J., Baleanu, D., & Srivastava, H. M. (2015). Local fractional integral transforms and their applications. Academic Press.
[25] Aruldoss, R., & Jasmine, G. (2022). A Wavelet Collocation Method for some Fractional Models. Ratio Mathematica, 43, 217-230.
[26] Aruldoss, R., & Balaji, K. (2023). A NOVEL ITERATIVE ALGORITHM FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS. Palestine Journal of Mathematics, 12(1).