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The multiplicity solutions for nonlinear fractional differential equations of Riemann-Liouville type

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Abstract Positive and negative definite comparison results for nonlinear q-th fractional differential equations of Riemann-Liouville type are derived without requiring Hölder continuity assumption. Monotone iterative method is then developed to… Click to show full abstract

Abstract Positive and negative definite comparison results for nonlinear q-th fractional differential equations of Riemann-Liouville type are derived without requiring Hölder continuity assumption. Monotone iterative method is then developed to a class of nonlinear boundary value problems for fractional differential equations, using coupled upper and lower solutions. Existence of the multiplicity solutions for the nonlinear fractional differential equations is presented.

Keywords: nonlinear fractional; fractional differential; differential equations; liouville type; equations riemann; riemann liouville

Journal Title: Fractional Calculus and Applied Analysis
Year Published: 2018

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