Geodesic
Some existence results on implicit fractional differential equations
Filomat, Tome 35 (2021) no. 12, p. 4257

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DOI

In this paper, we study the existence of a solution for the nonlinear implicit fractional differential equation of the type D α u(t) = f (t, u(t), D α u(t)) , with Riemann-Liouville fractional derivative via the different boundary conditions u(0) = u(T), and the three point boundary conditions u(0) = β 1 u(η) and u(T) = β 2 u(η), where T > 0, t ∈ I = [0, T], 0 α 1, 0 η T, 0 β 1 β 2 1
DOI : 10.2298/FIL2112257K
Classification : 65D07, 11B83, 40A30, 65D17, 65D18, 68U07, 11Y16, 14F10, 26C05
Keywords: Fractional differential equations, Green’s function, Implicit Fractional Differential Equations 
V V Kharat; Shivaji Tate; A R Reshimkar. Some existence results on implicit fractional differential equations. Filomat, Tome 35 (2021) no. 12, p. 4257 . doi: 10.2298/FIL2112257K
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     author = {V V Kharat and Shivaji Tate and A R Reshimkar},
     title = {Some existence results on implicit fractional differential equations},
     journal = {Filomat},
     pages = {4257 },
     year = {2021},
     volume = {35},
     number = {12},
     doi = {10.2298/FIL2112257K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2112257K/}
}
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