On the operator method for solving linear integro-differential equations with fractional conformable derivatives
Turmetov B.Kh. Usmanov K.I. Nazarova K.Zh.
September 2021MDPI
Fractal and Fractional
2021#5Issue 3
The methods for constructing solutions to integro-differential equations of the Volterra type are considered. The equations are related to fractional conformable derivatives. Explicit solutions of homogeneous and inhomogeneous equations are constructed, and a Cauchy-type problem is studied. It should be noted that the considered method is based on the construction of normalized systems of functions with respect to a differential operator of fractional order.
Cauchy problem , Explit solutions , Fractional conformable derivatives , Fractional derivatives , Integro-differential equation , Mittag–Leffler funtions , Normalized systems method , Particular solution
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Department of Mathematics, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan, 161200, Kazakhstan
Department of Mathematics
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