On Finite Part Integrals and Hadamard-Type Fractional Derivatives
暂无分享,去创建一个
Changpin Li | Changpin Li | Li Ma | Li Ma
[1] H. R. Kutt. The numerical evaluation of principal value integrals by finite-part integration , 1975 .
[2] Weiwei Sun,et al. Interpolatory quadrature rules for Hadamard finite-part integrals and their superconvergence , 2007 .
[3] Maria da Graça Marcos,et al. Some Applications of Fractional Calculus in Engineering , 2010 .
[4] David Elliott. An asymptotic analysis of two algorithms for certain Hadamard finite-part integrals , 1993 .
[5] N. Ioakimidis. Application of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity , 1982 .
[6] O. Marichev,et al. Fractional Integrals and Derivatives: Theory and Applications , 1993 .
[7] Lyapunov–Schmidt Reduction for Fractional Differential Systems , 2016 .
[8] Dumitru Baleanu,et al. On the generalized fractional derivatives and their Caputo modification , 2017 .
[9] Carla M. A. Pinto,et al. The role of synaptic transmission in a HIV model with memory , 2017, Appl. Math. Comput..
[10] George J. Tsamasphyros,et al. Gauss quadrature rules for finite part integrals , 1990 .
[11] Changpin Li,et al. On the Hadamard Type Fractional Differential System , 2012 .
[12] Kai Diethelm,et al. Generalized compound quadrature formulae for finite-part integrals , 1997 .
[13] D. F. Paget,et al. The numerical evaluation of Hadamard finite-part integrals , 1981 .
[14] J. Hadamard,et al. Essai sur l'étude des fonctions données par leur développement de Taylor , 1892 .
[15] Giovanni Monegato,et al. Definitions, properties and applications of finite-part integrals , 2009 .
[16] Xiaoping Zhang,et al. The superconvergence of the composite midpoint rule for the finite-part integral , 2010, J. Comput. Appl. Math..
[17] J. Yeh,et al. Absolutely Continuous Functions , 2014 .
[18] Changpin Li,et al. Center Manifold of Fractional Dynamical System , 2016 .
[19] Changpin Li,et al. ON HADAMARD FRACTIONAL CALCULUS , 2017 .
[20] Carla M. A. Pinto. Persistence of low levels of plasma viremia and of the latent reservoir in patients under ART: A fractional-order approach , 2017, Commun. Nonlinear Sci. Numer. Simul..
[21] Dumitru Baleanu,et al. Caputo-type modification of the Hadamard fractional derivatives , 2012, Advances in Difference Equations.
[22] Paul L. Butzer,et al. Fractional calculus in the Mellin setting and Hadamard-type fractional integrals , 2002 .
[23] Anatoly A. Kilbas,et al. HADAMARD-TYPE FRACTIONAL CALCULUS , 2001 .
[24] Zhiping Mao,et al. A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities , 2017, SIAM J. Sci. Comput..
[25] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations , 2006 .
[26] Dale E. Varberg,et al. On Absolutely Continuous Functions , 1965 .
[27] Delfim F. M. Torres,et al. Expansion Formulas in Terms of Integer-Order Derivatives for the Hadamard Fractional Integral and Derivative , 2011, Numerical Functional Analysis and Optimization.
[28] Fanhai Zeng,et al. Numerical Methods for Fractional Calculus , 2015 .
[29] José António Tenreiro Machado,et al. Fractional model for malaria transmission under control strategies , 2013, Comput. Math. Appl..
[30] Dumitru Baleanu,et al. Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations , 2017 .
[31] Piermarco Cannarsa,et al. Introduction to Measure Theory and Functional Analysis , 2015 .