Results 151 to 160 of about 20,134 (284)

Fractional fundamental lemma and fractional integration by parts formula -- Applications to critical points of Bolza functionals and to linear boundary value problems

open access: yes, 2015
In the first part of the paper, we prove a fractional fundamental (du Bois-Reymond) lemma and a fractional variant of the integration by parts formula. The proof of the second result is based on an integral representation of functions possessing Riemann ...
Bourdin, Loïc, Idczak, Dariusz
core   +1 more source

Fractional equations of Volterra type involving a Riemann–Liouville derivative

open access: yesApplied Mathematics Letters, 2013
Abstract In this paper, we will discuss the existence of solutions of fractional equations of Volterra type with the Riemann–Liouville derivative. Existence results are obtained by using a Banach fixed point theorem with weighted norms and by a monotone iterative method too. An example illustrates the results.
openaire   +2 more sources

Extension of the fractional derivative operator of the Riemann-Liouville

open access: yesThe Journal of Nonlinear Sciences and Applications, 2017
Dumitru Baleanu   +4 more
openaire   +3 more sources

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