EXISTENCE AND UNIQUENESS THEOREM OF FRACTIONAL DIFFERENTIAL EQUATION USING SADOVISKI FIXED – POINT THEOREM | Zendy

Fadhel Subhi Fadhel | Zendy; Z. SH Hamed | Zendy

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EXISTENCE AND UNIQUENESS THEOREM OF FRACTIONAL DIFFERENTIAL EQUATION USING SADOVISKI FIXED – POINT THEOREM

Author(s) -

Fadhel Subhi Fadhel,

Z. SH Hamed

Publication year - 2007

Publication title -

journal of al-nahrain university-science

Language(s) - English

Resource type - Journals

eISSN - 2519-0881

pISSN - 1814-5922

DOI - 10.22401/jnus.10.1.20

Subject(s) - mathematics , picard–lindelöf theorem , fixed point theorem , uniqueness , brouwer fixed point theorem , uniqueness theorem for poisson's equation , fractional calculus , nonlinear system , mathematical analysis , differential equation , pure mathematics , physics , quantum mechanics

The main objective of this paper is to state and prove the existence and uniqueness theorem of fractional differential equations using one of the most important theorems in nonlinear functional analysis which is the Sadoviski fixed – point theorem. Here the undertaken differential operator is in the sense of Riemann – Liouville definition of fractional integration.

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