Open Access
ITM Web Conf.
Volume 22, 2018
The Third International Conference on Computational Mathematics and Engineering Sciences (CMES2018)
Article Number 01008
Number of page(s) 7
Published online 17 October 2018
  1. T. Abdeljawad, D. Baleanu, Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel. Journal of Nonlinear Sciences and Applications, 10(2017), pp. 1098-1107, (2017). [CrossRef] [Google Scholar]
  2. D. Avci, B.B. Iskender Eroglu, N. Ozdemir, Conformable heat equation on a radial symmetric plate. Thermal Science, 21(2), pp. 819-826, (2017). [CrossRef] [Google Scholar]
  3. E. Bonyah, A. Atangana, M.A. Khan, Modeling the spread of computer virus via Caputo fractional derivative and the beta-derivative. Asia Pacific Journal on Computational Engineering, 4(1), p. 1, (2017). [CrossRef] [Google Scholar]
  4. Y. Çenesiz, D. Baleanu, A. Kurt, O. Tasbozan, New exact solutions of Burgers’ type equations with conformable derivative. Waves in Random and Complex Media, 27(1), pp. 103-116, (2017). [CrossRef] [Google Scholar]
  5. F. Evirgen, Analyze the optimal solutions of optimization problems by means of fractional gradient based system using VIM. An International Journal of Optimization and Control, 6(2), pp. 75-83, (2016). [Google Scholar]
  6. J.F. Gomez-Aguilar, H. Yépez-Martínez, J. Torres-Jiménez, T. Córdova-Fraga, R.F. Escobar-Jiménez, V.H. Olivares-Peregrino, Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel. Advances in Difference Equations, 2017(1), p. 68, (2017). [CrossRef] [Google Scholar]
  7. J. Hristov, Steady-state heat conduction in a medium with spatial non-singular fading memory: derivation of Caputo-Fabrizio space-fractional derivative with Jeffrey’s kernel and analytical solutions. Thermal science, 21(2), pp. 827-839, (2017). [CrossRef] [Google Scholar]
  8. M. Yavuz, Novel solution methods for initial boundary value problems of fractional order with conformable differentiation. An International Journal of Optimization and Control:Theories & Applications (IJOCTA), 8(1), pp. 1-7, (2018). [CrossRef] [Google Scholar]
  9. M. Yavuz, N. Ozdemir, Numerical inverse Laplace homotopy technique for fractional heat equations. Thermal Science, 22(2), pp. 185-194, (2018). [CrossRef] [Google Scholar]
  10. M. Yavuz, N. Ozdemir A different approach to the European option pricing model with new fractional operator. Mathematical Modelling of Natural Phenomena, 13(1), pp. 1-12, (2018). [CrossRef] [EDP Sciences] [Google Scholar]
  11. M. Yavuz, N. Ozdemir, H.M. Baskonus, Solutions of partial differential equations using the fractional operator involving Mittag-Leffler kernel. The European Physical Journal Plus, 133(6), p. 215, (2018). [CrossRef] [Google Scholar]
  12. N. Özdemir, M. Yavuz, Numerical Solution of Fractional Black-Scholes Equation by Using the Multivariate Padé Approximation. Acta Physica Polonica A, 132(3), pp. 1050-1053, (2017). [CrossRef] [Google Scholar]
  13. H. Bulut, T.A. Sulaiman, H.M. Baskonus, Dark, bright optical and other solitons with conformable space-time fractional second-order spatiotemporal dispersion. Optik, 163, pp. 1-7, (2018). [CrossRef] [Google Scholar]
  14. H.M, Baskonus, T. Mekkaoui, Z. Hammouch, H. Bulut, Active control of a chaotic fractional order economic system. Entropy, 17(8), pp. 5771-5783, (2015). [CrossRef] [Google Scholar]
  15. A. Esen, Y. Ucar, N. Yagmurlu, O. Tasbozan, A Galerkin finite element method to solve fractional diffusion and fractional diffusion-wave equations. Mathematical Modelling and Analysis, 18(2), pp. 260-273, (2013). [CrossRef] [Google Scholar]
  16. A. Yokus, H.M. Baskonus, T.A. Sulaiman, H. Bulut, Numerical simulation and solutions of the two-component second order KdV evolutionarysystem. Numerical Methods for Partial Differential Equations, 34(1), pp. 211-227, (2018). [CrossRef] [Google Scholar]
  17. D. Kaya, S. Gülbahar, A. Yokuş, M. Gülbahar, Solutions of the fractional combined KdV-mKdV equation with collocation method using radial basis function and their geometrical obstructions. Advances in Difference Equations, 2018(1), p. 77, (2018). [CrossRef] [Google Scholar]
  18. M. Caputo, M. Fabrizio, A new definition of fractional derivative without singular kernel. Progress in Fractional Differentiation and Applications, 1(2), pp. 1-13, (2015). [Google Scholar]
  19. A. Atangana, D. Baleanu, New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model. Thermal Science, 20(2), pp. 763-769, (2016). [CrossRef] [Google Scholar]
  20. N.A. Sheikh, F. Ali, M. Saqib, I. Khan, S.A.A. Jan, A comparative study of Atangana-Baleanu and Caputo-Fabrizio fractional derivatives to the convective flow of a generalized Casson fluid. The European Physical Journal Plus, 132(1), p. 54, (2017). [CrossRef] [Google Scholar]
  21. J.F. Gómez-Aguilar, R.F. Escobar-Jiménez, M.G. López-López, V.M. Alvarado-Martínez, Atangana-Baleanu fractional derivative applied to electromagnetic waves in dielectric media. Journal of Electromagnetic Waves and Applications, 30(15), pp. 1937-1952, (2016). [CrossRef] [Google Scholar]
  22. A. Atangana, D. Baleanu, Caputo-Fabrizio derivative applied to groundwater flow within confined aquifer. Journal of Engineering Mechanics, 143(5), p. D4016005, (2017). [CrossRef] [Google Scholar]
  23. M. Yavuz, N. Özdemir, European vanilla option pricing model of fractional order without singular kernel. Fractal and Fractional, 2(1), p. 3, (2018). [CrossRef] [Google Scholar]
  24. A. Atangana, B.S.T. Alkahtani, New model of groundwater flowing within a confine aquifer: application of Caputo-Fabrizio derivative. Arabian Journal of Geosciences, 9(1), p. 8, (2016). [CrossRef] [Google Scholar]
  25. J. Losada, J.J. Nieto, Properties of a new fractional derivative without singular kernel. Progress in Fractional Differentiation and Applications, 1(2), pp. 87-92, (2015). [Google Scholar]
  26. D. Baleanu, B. Agheli, M.M. Al Qurashi, Fractional advection differential equation within Caputo and Caputo-Fabrizio derivatives. Advances in Mechanical Engineering, 8(12), p. 1687814016683305, (2016). [CrossRef] [Google Scholar]
  27. A. Ghorbani, Beyond Adomian polynomials: he polynomials. Chaos, Solitons & Fractals, 39(3), pp. 1486-1492, (2009). [CrossRef] [MathSciNet] [Google Scholar]
  28. A.K. Golmankhaneh, A.K. Golmankhaneh, D. Baleanu, On nonlinear fractional Klein-Gordon equation. Signal Processing, 91(2011), pp. 446-451, (2011). [CrossRef] [Google Scholar]

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