Oscillatory solutions of fractional integro‐differential equations
Copyright policy )Oscillatory solutions of fractional integro‐differential equations
We give necessary conditions to get oscillatory solutions of a class of fractional order neutral differential equations with continuously distributed delay by means of the fractional derivative with respect to a given function. In particular, oscillatory solutions of the considered fractional equations with Caputo and Hadamard type of fractional derivatives are established. Some explicit examples are given to illustrate the main results.
- Southern Federal University Russian Federation
- University of Antioquia Colombia
- Nazarbayev University Kazakhstan
fractional integro-differential equation, Atangana-Baleanu operator, Stability theory for integral equations, Prahbakar operator, fractional integro-differential operator, Neutral functional-differential equations, Integro-ordinary differential equations, fractional integro-differentiation operators with respect to functions, oscillatory solution, Fractional derivatives and integrals, Oscillation theory of functional-differential equations, fractional differential equation, Periodic solutions of integral equations, Functional-differential equations with fractional derivatives
fractional integro-differential equation, Atangana-Baleanu operator, Stability theory for integral equations, Prahbakar operator, fractional integro-differential operator, Neutral functional-differential equations, Integro-ordinary differential equations, fractional integro-differentiation operators with respect to functions, oscillatory solution, Fractional derivatives and integrals, Oscillation theory of functional-differential equations, fractional differential equation, Periodic solutions of integral equations, Functional-differential equations with fractional derivatives
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