Multiple monotone positive solutions of integral BVPs for a higher-order fractional differential equation with monotone homomorphism
نویسندگان
چکیده
منابع مشابه
Monotone and Concave Positive Solutions to a Boundary Value Problem for Higher-Order Fractional Differential Equation
and Applied Analysis 3 Definition 2.2 see 12 . The Caputo fractional derivative for a function y : 0,∞ → R can be written as D 0 y t 1 Γ n − α ∫ t 0 t − s n−α−1y n s ds, 2.2 where n α 1, α denotes the integer part of real number α. According to the definitions of fractional calculus, we can obtain that the fractional integral and the Caputo fractional derivative satisfy the following Lemma. Lem...
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where n ≥ , f : [, ]× (R+)n– → R+ is continuous in which R+ = [,+∞), A and B are right continuous on [, ), left continuous at t = , and nondecreasing on [, ], withA() = B() = ; ∫ v(s)dA(s) and ∫ v(s)dB(s) denote the Riemann-Stieltjes integrals of v with respect to A and B, respectively. Boundary value problems (BVPs for short) for nonlinear differential equations arise in m...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2016
ISSN: 1687-1847
DOI: 10.1186/s13662-016-0743-4