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2007•Journal of Al-Nahrain University-ScienceOpen access

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

Fadhel Subhi Fadhel, Z. SH Hamed

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Abstract

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 fixedpoint theorem.Here the undertaken differential operator is in the sense of Riemann -Liouville definition of fractional integration.

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What this paper is about

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 fixedpoint theorem.Here the undertaken differential operator is in the sense of Riemann -Liouville definition of fractional integration.

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Available abstract

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 fixedpoint theorem.Here the undertaken differential operator is in the sense of Riemann -Liouville definition of fractional integration.

Key concepts: Mathematics, Picard–Lindelöf theorem, Fixed-point theorem, Uniqueness, Brouwer fixed-point theorem, Uniqueness theorem for Poisson's equation, Fractional calculus, Nonlinear system

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