• MATHEMATICAL INEQUALITIES ON FRACTIONAL CALCULUS: A SURVEY

*Chinchane V. L., Pachpatte D. B.

Abstract


The study of mathematical inequalities play very important role in classical differential and integral equations which has applications in many fields. Fractional inequalities are important in studding the existence, uniqueness and other properties of fractional differential equations. In this paper, we present some fractional inequalities, Generalized Gronwall inequalities, Hilbert-Pachpatte inequalities, Minkowski fractional inequalities, Harmite-Hadamard integral inequalities and Opial-Type inequalities.

Keywords


Generalized Gronwall inequalities, Hilbert-Pachpatte inequalities, Minkowski fractional inequalities, Harmite-Hadamard integral inequalities, Opial-Type inequalities, fractional derivative and fractional integration.

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