Legendre fractional differential equation and Legender fractional polynomials

Keywords

Legendre polynomials, Mathematics, Conformable matrix, Legendre's equation, Associated Legendre polynomials

References

• An Introduction to the Fractional Calculus and Fractional Differential EquationsKenneth S. Miller, Bertram Ross — 1993
• Theory and Applications of Fractional Differential EquationsA. Kilbas, H. Srivastava, J. Trujillo — 2006
• The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary OrderK. B. Oldham, J. Spanier — 1974
• A new definition of fractional derivativeRoshdi Khalil, Mohammed Al Horani, A. Yousef — 2014
• On conformable fractional calculusThabet Abdeljawad — 2015
• Fractional Differential EquationsT. Kaczorek, K. Rogowski — 2015

Cited by

• Fractional Fourier Series with ApplicationsI Abu Hammad, Roshdi Khalil — 2014
• Solutions of Sequential Conformable Fractional Differential Equations around an Ordinary Point and Conformable Fractional Hermite Differential EquationEmrah Ünal, Ahmet an, Ercan Çeli̇k — 2015
• General Solution to Sequential Linear Conformable Fractional Differential Equations With Constant CoefficientsEmrah Ünal, Ahmet Gökdoğan, Ercan Çeli̇k — 2016
• Conformable Fractional Bessel Equation and Bessel FunctionsAhmet Gökdoğan, Emrah Ünal, Ercan Çeli̇k — 2015
• Solutions around a Regular α Singular Point of a Sequential Conformable Fractional Differential EquationEmrah Ünal, Ahmet Gökdoğan, Ercan Çeli̇k — 2015
• ON THE FRACTIONAL RICCATI DIFFERENTIAL EQUATIONTahir Khanıyev, Mehmet Merdan — 2016
• TOTAL AND DIRECTIONAL FRACTIONAL DERIVATIVESA. Tallafha, S. Al Hihi — 2016
• Newly Defined Conformable DerivativesDouglas R. Anderson, Darin J. Ulness — 2015
• A remark on local fractional calculus and ordinary derivativesRicardo Almeida, Małgorzata Guzowska, Tatiana Odzijewicz — 2016
• Dynamics of a Particle in a Viscoelastic Medium with Conformable DerivativeWon Sang Chung, H. Hassanabadi — 2017
• On conformable delta fractional calculus on time scalesDafang Zhao, Tongxing Li — 2016
• The conformable fractional grey system model.Xin Ma, Wenqing Wu, Bo Zeng — 2018
• Conformable fractional hyper geometric equationI. Aldarawi — 2018
• The Fractional Laguerre Equation: Series Solutions and Fractional Laguerre FunctionsRasha Shat, Safa Al-Refai, Islam Alhamayda — 2019
• Closed-form solution of optimal control problem of a fractional order systemTirumalasetty Chiranjeevi, Raj Kumar Biswas — 2019
• Conformable fractional Sturm‐Liouville equationBilender P. Allahverdiev, Hüseyin Tuna, Yüksel Yalçınkaya — 2019
• Conformable Fractional Bernoulli Differential Equation with ApplicationsAmer Dababneh, Bilal Albarmawi, Ma’mon Abu Hammad — 2019
• Conformable Euler's theorem on homogeneous functionsFrancisco Martínez, Inmaculada Martínez‐Vidal, Silvestre Paredes — 2019
• Uyumlu Kesir Mertebeden Chebyshev Diferensiyel Denklemleri ve Kesirsel Chebyshev PolinomlarıEmrah Ünal, Ahmet Gökdoğan — 2016
• Studying the fractional derivative for natural convection in slanted cavity containing porous mediaSameh E. Ahmed, M. A. Mansour, Emad A.‐B. Abdel‐Salam — 2019

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