Existence of positive solutions of Hadamard fractional defferential equations with integral boundary conditions | Zendy

Amel Berhail | Zendy; Nora Tabouche | Zendy

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Existence of positive solutions of Hadamard fractional defferential equations with integral boundary conditions

Author(s) -

Amel Berhail,

Nora Tabouche

Publication year - 2021

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.44099

Subject(s) - hadamard transform , mathematics , fixed point theorem , fractional calculus , mathematical analysis , hadamard three lines theorem , boundary value problem , function (biology) , integral equation , hadamard product , evolutionary biology , biology

In this paper, We study the existence of positive solutions for Hadamard fractional differential equations with integral conditions. We employ Avery-Peterson fixed point theorem and properties of Green's function to show the existence of positive solutions of our problem. Furthermore, we present an example to illustrate our main result.

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