4.7 Article

Existence of Positive Solutions to Boundary Value Problems with Mixed Riemann-Liouville and Quantum Fractional Derivatives

Journal

FRACTAL AND FRACTIONAL
Volume 7, Issue 9, Pages -

Publisher

MDPI
DOI: 10.3390/fractalfract7090685

Keywords

cone; boundary value problem; fixed-point theorem; Riemann-Liouville fractional derivative; quantum fractional calculus

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In this paper, the existence of positive solutions to fractional differential equations with mixed Riemann-Liouville and quantum fractional derivatives is studied using the Leggett-Williams fixed-point theorem. An interesting example is investigated to demonstrate the effectiveness of the main result.
In this paper, by using the Leggett-Williams fixed-point theorem, we study the existence of positive solutions to fractional differential equations with mixed Riemann-Liouville and quantum fractional derivatives. To prove the effectiveness of our main result, we investigate an interesting example.

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