EXISTENCE OF POSITIVE SOLUTIONS OF NONLINEAR FRACTIONAL QUADRATIC DIFFERENTIAL EQUATIONS

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Journal of Universal Mathematics
Volume:1 Issue:2
EXISTENCE OF POSITIVE SOLUTIONS OF NONLINEAR FRACTIONAL QUADRATIC DIFFERENTIAL EQUATIONS

EXISTENCE OF POSITIVE SOLUTIONS OF NONLINEAR FRACTIONAL QUADRATIC DIFFERENTIAL EQUATIONS

Authors : Khalid HİLAL, Youssef ALLAOUİ, Karim GUİDA

Pages : 245-257

View : 39 | Download : 9

Publication Date : 2018-07-31

Article Type : Research Paper

Abstract :In this work, we prove the existence as well as approximations of the positive solutions for an initial value problem of nonlinear fractional quadratic dierential equations. We use some properties of the Mittag-Leer functions and its relationship with fractional calculus. Also we obtain some results regarding the existence of positive solutions using the Dhage iterative method embodied in a recent hybrid xed point theorem of Dhage in partially ordered normed linear spaces.
Keywords : Fractional di erential equation, hybrid systems, Dhage iterative method, Approximate positive solution

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.