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SOME EXISTENCE RESULTS TO POSITIVE SOLUTIONS FOR P-LAPLACIAN BOUNDARY VALUE PROBLEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS
Fraid Chabane  1, @  
1 : Ghardaia  -  Website
Scientific Zone, PO Box 455 Ghardaia, 47000, Algeria -  Algeria

In this manuscript, we deal with a study of the existence and the multiplicity of positive solutions for a boundary value of two-sided fractional differential equations involving
generalized-Caputo fractional derivatives. An application of functional analysis tools, more
specifically, we use some fixed point theorems, and under some additional assumptions, some
of important results have been proven and we obtain the existence of at least one solution

Subject : : Oral
Comment : In these words, we have discussed the existence and the uniqueness of solutions for a class of nonlinear fractional differential equations with a boundary value, by using the properties of the Green functions associated to our nonlinear fractional differential equations with a boundary value, the Guo-Krasnosel'skii and Banach fixed point theorems.
Topics : Mathematical analysis
Keywords : Fractional differential equations ; Caputo ; Katugampola (CK) fractional type ; boundary value problem ; fixed point theorems ; Positive solutions.
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