A Class of Quasilinear Equations with Riemann–Liouville Derivatives and Bounded Operators

نویسندگان

چکیده

The existence and uniqueness of a local solution is proved for the incomplete Cauchy type problem to multi-term quasilinear fractional differential equations in Banach spaces with Riemann–Liouville derivatives bounded operators at them. Nonlinearity equation assumed be Lipschitz continuous dependent on lower order derivatives, which orders have same part as highest derivative. obtained abstract result applied study class initial-boundary value problems time-fractional polynomials an elliptic self-adjoint operator respect spatial variables linear derivatives. nonlinear considered partial smooth phase variables.

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ژورنال

عنوان ژورنال: Axioms

سال: 2022

ISSN: ['2075-1680']

DOI: https://doi.org/10.3390/axioms11030096