FINITE FRACTIONAL-ORDER OF DISTRIBUTIONAL SOLUTIONS OF CERTAIN FRACTIONAL DIFFERENTIAL EQUATIONS

Somsak Orankitjaroen

Abstract


We establish necessary and sufficient conditions for the existence of solutions of certain fractional differential equations in the form of finite fractional-order of Dirac delta functions. We then give some fractional differential equations whose solutions are in such a form.

Keywords


Fractional differential equations; Dirac delta function; generalized functions; Riemann-Liouville fractional derivative; operational calculus

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