Geodesic
Some results for two classes of two-point local fractional proportional boundary value problems
Filomat, Tome 37 (2023) no. 21, p. 7199

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DOI

In this paper, we consider two classes of boundary value problems in the frame of local proportional fractional derivatives. For both of these classes, we obtain the associated Green's functions and discuss their properties. Using these properties, we go about the uniqueness of the solutions. In addition, we establish Lyapunov-type and Hartman-Wintner-type inequalities and build sharp estimated for the unique solutions of the considered equations.
DOI : 10.2298/FIL2321199L
Classification : 34A08, 34A40, 26A33, 26D10, 34B27
Keywords: Local fractional proportional derivative, Boundary value problem, Green’s function, Hartman-Wintner type inequality, Lyapunov-type inequality, Unique solotion, Nonexistence 
Zaid Laadjal; Thabet Abdeljawad; Fahd Jarad. Some results for two classes of two-point local fractional proportional boundary value problems. Filomat, Tome 37 (2023) no. 21, p. 7199 . doi: 10.2298/FIL2321199L
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     title = {Some results for two classes of two-point local fractional proportional boundary value problems},
     journal = {Filomat},
     pages = {7199 },
     year = {2023},
     volume = {37},
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     doi = {10.2298/FIL2321199L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2321199L/}
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