Solutions of partial differential equations using the fractional operator involving Mittag-Leffler kernel
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J.F. Gómez-Aguilar, V.F. Morales-Delgado, M.A. Taneco-Hernández, D. Baleanu, R.F. Escobar-Jiménez, M.M. Al Qurashi, Entropy 18, 8 (2016)
C. Cattani, Math. Prob. Eng. 2012, 502812 (2012)
M. Yavuz, N. Özdemir, Y.Y. Okur, in Proceedings of the ICFDA Conference, Novi Sad, 2016, edited by D.T. Spasic (Serbia, 2016)
M. Yavuz, Int. J. Opt. Control 8, 1 (2018)
A.A. Elbeleze, A. Kiliçman, B.M. Taib, Math. Prob. Eng. 2013, 524852 (2013)
F. Evirgen, Int. J. Opt. Control 6, 2 (2016)
D. Baleanu, J.A.T. Machado, C. Cattani, M.C. Baleanu, X.-J. Yang, Abstr. Appl. Anal. 2014, 535048 (2014)
W. Chen, S. Wang, Management 11, 1 (2015)
D.A. Koç, M. Gülsu, Int. J. Opt. Control 7, 3 (2017)
A. Akgül, D. Baleanu, Int. J. Opt. Control 7, 1 (2017)
N. Özdemir, M. Yavuz, Acta Phys. Pol. A 132, 3 (2017)
B.B.I. Eroğlu, D. Avci, N. Özdemir, Acta Phys. Pol. A 132, 3 (2017)
F. Evirgen, Acta Phys. Pol. A 132, 3 (2017)
Y. Hu, B. Oksendal, A. Sulem, Infin. Dimens. Anal. Quant. Probab. Relat. Topics 6, 4 (2003)
D. Avci, B.B.I. Eroglu, N. Ozdemir, Therm. Sci. 21, 2 (2017)
A. Yokus, D. Kaya, J. Nonlinear Sci. Appl. 10, 7 (2017)
H. Bulut, G. Yel, H.M. Baskonus, Turkish J. Math. Comput. Sci. 5, 1 (2016)
M. Heydari, M.R. Hooshmandasl, F. Mohammadi, C. Cattani, Commun. Nonlinear Sci. Numer. Simul. 19, 1 (2014)
C. Li, D. Qian, Y.Q. Chen, Disc. Dyn. Nat. Soc. 2011, 562494 (2011)
M. Caputo, M. Fabrizio, Progr. Fract. Differ. Appl. 1, 73 (2015)
V.F. Morales-Delgado, J.F. Gómez-Aguilar, H. Yépez-Martínez, D. Baleanu, R.F. Escobar-Jimenez, V.H. Olivares-Peregrino, Adv. Differ. Equ. 2016, 164 (2016)
N.A. Sheikh, F. Ali, M. Saqib, I. Khan, S.A.A. Jan, A.S. Alshomrani, M.S. Alghamdi, Results Phys. 7, 789 (2017)
I. Podlubny, Fractional Differential Equations, in Mathematics in Science and Engineering, Vol. 198 (Academic Press, San Diego, USA, 1999)
J.F. Gómez-Aguilar, H. Yépez-Martínez, J. Torres-Jiménez, T. Córdova-Fraga, R.F. Escobar-Jiménez, V.H. Olivares-Peregrino, Adv. Differ. Equ. 2017, 68 (2017)
A. Tveito, R. Winther, Introduction to Partial Differential Equations: A Computational Approach (Springer Science & Business Media, 2004)