RT Journal Article
T1 The existence of a solution for nonlinear fractional differential equations where nonlinear term depends on the fractional and first order derivative of an unknown function
A1 Aleksic, Suzana
A1 Cabada Fernández, Alberto
A1 Dimitrijevic, Sladjana
A1 Tomovic Mladenovic, Tatjana V.
K1 Fractional Differential Equations
K1 Green’s Functions
K1 Boundary Value Problem
AB In this paper, we consider the existence of solutions of the nonlinear fractional differential equation boundary-value problem Dα* u(t) = f (t, u(t), u′(t), CDβu(t)), 0 < t < 1, 1 < α < 2, 0 < β ≤ 1, u(0) = A, u(1) = Bu(η), where 0 < η < 1, A ≥ 0, Bη > 1, Dα* is the modified Caputo fractional derivative of order α, CDβ is the Caputo fractional derivative of order β, and f is a function in C([0, 1] × R × R × R). Existence results for a solution are obtained. Two examples are presented to illustrate the results.
PB Faculty of Sciences and Mathematics, University of Nis, Serbia
SN 0354-5180
YR 2023
FD 2023
LK https://hdl.handle.net/10347/39699
UL https://hdl.handle.net/10347/39699
LA eng
NO This work was supported by the Serbian Ministry of Science, Technological Development and Innovations (Agreement No. 451-03-47/2023-01/ 200122). The second author is partially supported by MCIN/AEI/PID2020-113275GB-I00 and by “ERDF A way of making Europe”, by the “European Union”, and by Xunta de Galicia (Spain), project EM2014/032.
DS Minerva
RD 26 abr 2026