Fractional Fourier Series with Applications

Keywords

Fourier series, Series (stratigraphy), Mathematics, Fourier analysis, Fourier transform

References

• ABEL'S FORMULA AND WRONSKIAN FOR CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONSMALIKA HAMMAD, Roshdi Khalil — 2014
• Legendre fractional differential equation and Legender fractional polynomialsRoshdi Khalil, Mamoon Abu Hammad — 2014
• On conformable fractional calculusThabet Abdeljawad — 2015
• CONFORMABLE FRACTIONAL HEAT DIFFERENTIAL EQUATIONMa’mon Abu Hammad, Roshdi Khalil — 2014
• On conformable fractional calulusThabet Abdeljawad — 2014

Cited by

• Existence and Uniqueness Theorems for Sequential Linear Conformable Fractional Differential EquationsAhmet Gökdoğan, Emrah Ünal, Ercan Çeli̇k — 2015
• General Solution to Sequential Linear Conformable Fractional Differential Equations With Constant CoefficientsEmrah Ünal, Ahmet Gökdoğan, Ercan Çeli̇k — 2016
• Solutions around a Regular α Singular Point of a Sequential Conformable Fractional Differential EquationEmrah Ünal, Ahmet Gökdoğan, Ercan Çeli̇k — 2015
• SOLUTION OF SOME CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONSRoshdi Khalil, Heba N. Abu-Shaab — 2015
• New exact solutions of Burgers’ type equations with conformable derivativeYücel Çenesiz, Dumitru Bǎleanu, Ali Kurt — 2017
• Periodic boundary value problems for impulsive conformable fractional integro-differential equationsSuphawat Asawasamrit, Sotiris K. Ntouyas, Phollakrit Thiramanus — 2016
• Oscillation of impulsive conformable fractional differential equationsJessada Tariboon, Sotiris K. Ntouyas — 2016
• The Dirichlet problem of a conformable advection-diffusion equationDerya Avcı, Eroğlu İskender, Necati Özdemir — 2017
• On the analytical solutions of the system of conformable time-fractional Robertson equations with 1-D diffusionOlaniyi S. Iyiola, Orkun Taşbozan, Ali Kurt — 2017
• Newly Defined Conformable DerivativesDouglas R. Anderson, Darin J. Ulness — 2015
• Conformable heat equation on a radial symmetric plateDerya Avcı, Eroğlu İskender, Necati Özdemir — 2017
• Dynamics of a Particle in a Viscoelastic Medium with Conformable DerivativeWon Sang Chung, H. Hassanabadi — 2017
• On the New Solutions of the Conformable Time Fractional Generalized Hirota-Satsuma Coupled KdV SystemYücel Çenesiz, Ali Kurt, Orkun Taşbozan — 2017
• On conformable delta fractional calculus on time scalesDafang Zhao, Tongxing Li — 2016
• A study of critical point instability of micro and nano beams under a distributed variable-pressure force in the framework of the inhomogeneous non-linear nonlocal theoryZaher Rahimi, Ghader Rezazadeh, Wojciech Sumelka — 2017
• Total fractional differentials with applications to exact fractional differential equationsAlhorani Mohammed, Roshdi Khalil — 2018
• The conformable fractional grey system model.Xin Ma, Wenqing Wu, Bo Zeng — 2018
• Electrical circuits described by fractional conformable derivativeL. Martínez, J. J. Rosales, C.A. Carreño — 2018
• Semilinear Conformable Fractional Differential Equations in Banach SpacesAnjali Jaiswal, D. Bahuguna — 2019
• Regularization and error estimates for an inverse heat problem under the conformable derivativeVu Ho, Donal O’Regan, Ngo Van Hoa — 2018

Related papers

• On conformable fractional calculusThabet Abdeljawad — 2015
• A new definition of fractional derivativeRoshdi Khalil, Mohammed Al Horani, A. Yousef — 2014
• CONFORMABLE FRACTIONAL HEAT DIFFERENTIAL EQUATIONMa’mon Abu Hammad, Roshdi Khalil — 2014
• Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applicationsIgor Podlubný — 1998
• Theory and Applications of Fractional Differential EquationsA. Kilbas, H. Srivastava, J. Trujillo — 2006
• New properties of conformable derivativeAbdon Atangana, Dumitru Bǎleanu, Ahmed Alsaedi — 2015
• An Introduction to the Fractional Calculus and Fractional Differential EquationsKenneth S. Miller, Bertram Ross — 1993
• Fractional Newton mechanics with conformable fractional derivativeWon Sang Chung — 2015
• Legendre fractional differential equation and Legender fractional polynomialsRoshdi Khalil, Mamoon Abu Hammad — 2014
• ABEL'S FORMULA AND WRONSKIAN FOR CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONSMALIKA HAMMAD, Roshdi Khalil — 2014