In this paper, we consider a new suitable lacunary fractional interpolation with the idea
of the spline function of polynomial form, and the method applied to solve linear
fractional differential equations. The results obtained are in good agreement with the
exact analytical solutions and the numerical results presented by two examples, results
also show that the technique introduced here is robust and easy to apply.
In this work, some integral inequalities of fractional order of Riemann-Liouville typeare established, which generalized some know inequalities for [8]. These can be usedin the analysis of various problems in the theory of certain classes of fractionaldifferential equations and fractional integral equations. Also, some applications for thefractional differential and integral equations are also indicated.
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