THEORY AND APPLICATIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS. NORTH-HOLLAND MATHEMATICS STUDIES

By Anatoly A. Kilbas, Hari M. Srivastava, Juan Trujillo. 2006

1,014 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/c9bda016be2b1ecca9dac1023e6dac0a2acfbfcb

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Citations in the corpus

• On the new concept of solutions and existence results for impulsive fractional evolution equations (2011, unknown): “For more details, see [21].”
• The use of a Legendre multiwavelet collocation method for solving the fractional optimal control problems (2011, background): “Also we refer the interested reader to Kilbas et al. (2006) and Samko et al. (1993) for fractional differential equations and to Agrawal and Baleanu (2007), Baleanu (2009a,b), and Rabei et al. (2007) for some recent research works on fractional optimal control problems.”
• Bounded mild solutions to fractional integro-differential equations in Banach spaces (2013, background): “See, for instance, [3, 18, 19] and [27] for more details.”
• Evaluation of Fractional Integrals and Derivatives of Elementary Functions: Overview and Tutorial (2019, background): “To fully understand this issue it is useful to consider the following result on the Laplace transform (LT) of the RL derivative [10].”
• Numerical Solution of Fractional Differential Equations: A Survey and a Software Tutorial (2018, background): “g, see [1]): { y′′(t) + aD3/2 t0 y(t) + by(t) = f (t, y(t)), y(t0) = y0, y′(t0) = y (1) 0 , (34)”
• Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function (2019, background): “[10] explored the concept of RL-fractional integrals in the sense of another function Ψ.”
• Existence results for boundary-value problems with nonlinear fractional differential inclusions and integral conditions. (2010, background): “Here n = [α] + 1 and [α] denotes the integer part of α. Definition 2.6 ([38]).”
• Results on controllability of non-densely characterized neutral fractional delay differential system (2021, background): “One can refer the monographs [16, 21, 22, 38, 34, 39] for further details.”
• Initial-value problems for hybrid Hadamard fractional differential equations (2014, background): “For further details and applications, see [11, 15].”