Azizollah Babakhani

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Existence of positive solutions for the nonlinear fractional differential equation D s u(x) = f (x, u(x)), 0 < s < 1, has been studied (S. Zhang, J. Math. Anal. Appl. 252 (2000) 804–812), where D s denotes Riemann–Liouville fractional derivative. In the present work we study existence of positive solutions in case of the nonlinear fractional differential(More)
In this article, we discuss the existence and uniqueness of solution to nonlinear fractional order ordinary differential equations D α − ρtD β x(t) = f (t, x(t), D γ x(t)) , t ∈ (0, 1) with boundary conditions x(0) = x 0 , x(1) = x 1 or satisfying the initial conditions x(0) = 0, x (0) = 1 where D denotes Caputo fractional derivative, ρ is constant, 1 < α <(More)
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