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This paper investigates the existence and uniqueness of solution for a class of nonlinear fractional differential equations of fractional order 0<α≤1 in arbitrary time scales. The results are established using extensions of Krasnoselskii-Krein, Rogers, and Kooi conditions

international journal of differential equations

On Some Existence and Uniqueness Results for a Class of Equations of Order<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mn fontstyle="italic">0</mml:mn><mml:mo>&lt;</mml:mo><mml:mi>α</mml:mi><mml:mo>≤</mml:mo><mml:mn fontstyle="italic">1</mml:mn></mml:math>on Arbitrary Time Scales

On Some Existence and Uniqueness Results for a Class of Equations of Order0<α≤1on Arbitrary Time Scales