EXISTENCE OF POSITIVE SOLUTIONS FOR A SINGULAR FRACTIONAL NONLINEAR DIFFERENTIAL EQUATION WITH FRACTIONAL INTEGRAL BOUNDARY CONDITIONS | Zendy

Fatma M. Gaafar | Zendy

Open Access

EXISTENCE OF POSITIVE SOLUTIONS FOR A SINGULAR FRACTIONAL NONLINEAR DIFFERENTIAL EQUATION WITH FRACTIONAL INTEGRAL BOUNDARY CONDITIONS

Author(s) -

Fatma M. Gaafar

Publication year - 2018

Publication title -

journal of the egyptian mathematical society

Language(s) - English

Resource type - Journals

eISSN - 2090-9128

pISSN - 1110-256X

DOI - 10.21608/joems.2018.3796.1102

Subject(s) - mathematics , fixed point theorem , fractional calculus , nonlinear system , mathematical analysis , regularization (linguistics) , integral equation , boundary value problem , singular integral , physics , quantum mechanics , artificial intelligence , computer science

In this paper, we investigate the appropriate conditions for the presence of positive solutions for a singular fractionaldierential equation (SFDE) with fractional integral boundary conditions (FIBCs). Our nonlinear function may has asingularity in its dependent variable. Our investigation is based on the xed point theorem of Krasnosel'skii on a coneand via regularization and sequential techniques (RASTs).

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