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In the monographs of Kilbas et al. [11], Miller and Ross [12], Podlubny [13], and Samko et al. [14] we can see significant development of fractional differential equations.
These results generalize, improve and complement a lot of results given in the monographs of Sendov, Andreev, Kjurkchiev [79] and Petković [80].
Its full version in a metric space setting can be seen, for example, in the monographs of Kirk [76], Zeidler [[57], Section 1.6] and Berinde [[77], Section 2.1].
This result and its proof can also be found in the monographs of Sendov, Andreev and Kjurkchiev [2], Section 19 and Kyurkchiev [3], Chapter 9.2). (Kjurkchiev and Andreev [16]).
Solutions of various problems for fractional differential equations can be found, for example, in the monographs of Podlubny [1], Kilbas, Srivastava, and Trujillo [2], Diethelm [3], and in [4 11].
Bibliography of the main fundamental results on this direction can be found, among others, in the monographs of Bitsadze [6], Berezansky [11], Bers [12], Salakhitdinov and Urinov [13] and Nakhushev [14].
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The method is evaluated using the fully clamped and simply supported rectangular, circular and elliptic plates subjected to uniformly distributed transverse load as examples for which the exact results are given in the monograph of Timoshenko and Woinowsky-Krieger.
Some limit theories can be found in the monograph of Lin and Lu [43].
A good overview can be found in the monograph of Bátkai and Piazzera [4].
More details about the fact can be found in the monograph of Pazy [25].
A recent survey of the estimation and application of the models can be found in the monograph of Häardle et al. [7].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com