Finite Time Blowing-Up Solution for a System of Nonlinear Equations Involving Nth Level Fractional Derivative
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A system of nonlinear fractional differential equations involving nth level fractional derivative is considered. We prove integration by parts formula for nth level fractional derivative. The result about non-existence of global solution in time has been proved. Our method of proof is based on the weak formulation and judicious choice of test function. Some examples are provided to verify the mathematical analysis.