TY - CHAP AU - Kolwankar, K. M. AU - Gangal, A. D. PY - 1997 DA - 1997// TI - Local fractional derivatives and fractal functions of several variables BT - Proceedings of the Conference on Fractals in Engineering ID - Kolwankar1997 ER - TY - JOUR AU - Khalil, R. AU - Horani, M. A. AU - Yousef, A. AU - Sababheh, M. PY - 2014 DA - 2014// TI - A new definition of fractional derivative JO - J. Comput. Appl. Math. VL - 264 UR - https://doi.org/10.1016/j.cam.2014.01.002 DO - 10.1016/j.cam.2014.01.002 ID - Khalil2014 ER - TY - JOUR AU - Caputo, M. AU - Fabrizio, M. PY - 2015 DA - 2015// TI - A new definition of fractional derivative without singular kernel JO - Prog. Fract. Differ. Appl. VL - 1 ID - Caputo2015 ER - TY - JOUR AU - Abdon, A. AU - Dumitru, B. PY - 2016 DA - 2016// TI - New fractional derivatives with nonlocal and non-singular kernel: theory and application to heat transfer model JO - Therm. Sci. VL - 20 UR - https://doi.org/10.2298/TSCI160111018A DO - 10.2298/TSCI160111018A ID - Abdon2016 ER - TY - JOUR AU - Syam, M. AU - Jaradat, H. M. PY - 2018 DA - 2018// TI - An accurate method for solving Riccati equation with fractional variable-order JO - J. Interpolat. Approx. Sci. Comput. VL - 2018 ID - Syam2018 ER - TY - JOUR AU - Kashkari, B. AU - Syam, M. PY - 2016 DA - 2016// TI - Fractional-order Legendre operational matrix of fractional integration for solving the Riccati equation with fractional order JO - Appl. Math. Comput. VL - 290 ID - Kashkari2016 ER - TY - JOUR AU - Zhang, Y. PY - 2009 DA - 2009// TI - A finite difference method for fractional partial differential equation JO - Appl. Math. Comput. VL - 215 UR - https://doi.org/10.1016/j.amc.2009.05.018 DO - 10.1016/j.amc.2009.05.018 ID - Zhang2009 ER - TY - JOUR AU - Akgul, A. PY - 2015 DA - 2015// TI - New reproducing kernel functions JO - Math. Probl. Eng. VL - 2015 UR - https://doi.org/10.1155/2015/158134 DO - 10.1155/2015/158134 ID - Akgul2015 ER - TY - JOUR AU - Inc, M. AU - Akgul, A. AU - Kihicman, A. PY - 2013 DA - 2013// TI - Numerical solutions of the second-order one-dimensional telegraph equation based on reproducing kernel Hilbert space method JO - Abstr. Appl. Anal. VL - 2013 ID - Inc2013 ER - TY - JOUR AU - Inc, M. AU - Akgul, A. AU - Kihicman, A. PY - 2013 DA - 2013// TI - A novel method for solving KdV equation based on reproducing kernel Hilbert space method JO - Abstr. Appl. Anal. VL - 2013 ID - Inc2013 ER - TY - JOUR AU - Akgul, A. AU - Khan, Y. AU - Akgul, E. AU - Baleanu, D. AU - Al Qurashi, M. PY - 2017 DA - 2017// TI - Solutions of nonlinear systems by reproducing kernel method JO - J. Nonlinear Sci. Appl. VL - 10 UR - https://doi.org/10.22436/jnsa.010.08.33 DO - 10.22436/jnsa.010.08.33 ID - Akgul2017 ER - TY - JOUR AU - Boutarfa, B. AU - Akgul, A. AU - Inc, M. PY - 2017 DA - 2017// TI - New approach for the Fornberg–Whitham type equations JO - J. Comput. Appl. Math. VL - 312 UR - https://doi.org/10.1016/j.cam.2015.09.016 DO - 10.1016/j.cam.2015.09.016 ID - Boutarfa2017 ER - TY - JOUR AU - Akgul, A. AU - Hashemi, M. AU - Inc, M. AU - Raheem, S. PY - 2017 DA - 2017// TI - Constructing two powerful methods to solve the Thomas–Fermi equation JO - Nonlinear Dyn. VL - 87 UR - https://doi.org/10.1007/s11071-016-3125-2 DO - 10.1007/s11071-016-3125-2 ID - Akgul2017 ER - TY - JOUR AU - Akgul, A. AU - Inc, M. AU - Kilicman, A. AU - Baleanu, D. PY - 2016 DA - 2016// TI - A new approach for one-dimensional sine-Gordon equation JO - Adv. Differ. Equ. VL - 2016 UR - https://doi.org/10.1186/s13662-015-0734-x DO - 10.1186/s13662-015-0734-x ID - Akgul2016 ER - TY - JOUR AU - Akgul, A. AU - Inc, M. AU - Baleanu, D. PY - 2017 DA - 2017// TI - On solutions of variable-order fractional differential equations JO - Int. J. Optim. Control Theor. Appl. VL - 7 UR - https://doi.org/10.11121/ijocta.01.2017.00368 DO - 10.11121/ijocta.01.2017.00368 ID - Akgul2017 ER - TY - JOUR AU - Akgül, A. AU - Kiliçman, A. PY - 2015 DA - 2015// TI - Solving delay differential equations by an accurate method with interpolation JO - Abstr. Appl. Anal. VL - 2015 UR - https://doi.org/10.1155/2015/676939 DO - 10.1155/2015/676939 ID - Akgül2015 ER - TY - JOUR AU - Alquran, M. AU - Al-Khaled, K. AU - Sivasundaram, S. AU - Jaradat, H. PY - 2017 DA - 2017// TI - Mathematical and numerical study of existence of bifurcations of the generalized fractional Burgers–Huxley equation JO - Nonlinear Stud. VL - 24 ID - Alquran2017 ER - TY - JOUR AU - Jaradat, I. AU - Alquran, M. AU - Al-Khaled, K. PY - 2018 DA - 2018// TI - An analytical study of physical models with inherited temporal and spatial memory JO - Eur. Phys. J. Plus VL - 133 UR - https://doi.org/10.1140/epjp/i2018-12007-1 DO - 10.1140/epjp/i2018-12007-1 ID - Jaradat2018 ER - TY - JOUR AU - Jaradat, I. AU - Al-Dolat, M. AU - Al-Zoubi, K. AU - Alquran, M. PY - 2018 DA - 2018// TI - Theory and applications of a more general form for fractional power series expansion JO - Chaos Solitons Fractals VL - 108 UR - https://doi.org/10.1016/j.chaos.2018.01.039 DO - 10.1016/j.chaos.2018.01.039 ID - Jaradat2018 ER - TY - JOUR AU - Jaradat, I. AU - Alquran, M. AU - Al-Dolat, M. PY - 2018 DA - 2018// TI - Analytic solution of homogeneous time-invariant fractional IVP JO - Adv. Differ. Equ. VL - 2018 UR - https://doi.org/10.1186/s13662-018-1601-3 DO - 10.1186/s13662-018-1601-3 ID - Jaradat2018 ER - TY - JOUR AU - Jaradat, I. AU - Alquran, M. AU - Abdalmohsen, R. PY - 2018 DA - 2018// TI - An analytical framework of 2D diffusion, wave-like, telegraph, and Burgers’ models with twofold Caputo derivatives ordering JO - Nonlinear Dyn. VL - 93 UR - https://doi.org/10.1007/s11071-018-4297-8 DO - 10.1007/s11071-018-4297-8 ID - Jaradat2018 ER - TY - JOUR AU - Alquran, M. AU - Jaradat, H. AU - Syam, M. PY - 2017 DA - 2017// TI - Analytical solution of the time-fractional Phi-4 equation by using modified residual power series method JO - Nonlinear Dyn. VL - 90 UR - https://doi.org/10.1007/s11071-017-3820-7 DO - 10.1007/s11071-017-3820-7 ID - Alquran2017 ER - TY - JOUR AU - Alquran, M. AU - Jaradat, I. PY - 2018 DA - 2018// TI - A novel scheme for solving Caputo time-fractional nonlinear equations: theory and application JO - Nonlinear Dyn. VL - 91 UR - https://doi.org/10.1007/s11071-017-4019-7 DO - 10.1007/s11071-017-4019-7 ID - Alquran2018 ER - TY - JOUR AU - Ali, M. AU - Alquran, M. AU - Jaradat, I. PY - 2019 DA - 2019// TI - Asymptotic-sequentially solution style for the generalized Caputo time-fractional Newell–Whitehead–Segel system JO - Adv. Differ. Equ. VL - 2019 UR - https://doi.org/10.1186/s13662-019-2021-8 DO - 10.1186/s13662-019-2021-8 ID - Ali2019 ER -