Here in our paper, we present two new subclasses of multivalent analytic functions and complex order by using q-p-valent Cătaş operator. Also we obtain coefficient estimates and consequent inclusion relationships involving the N p,q i,δ (f)-neighbourhood of these classes.

In this article, by the use of the lower and upper solutions method, we prove the existence of a positive solution for a Riemann–Liouville fractional boundary value problem. Furthermore, the uniqueness of the positive solution is given. To demonstrate the serviceability of the main results, some examples are presented.

Abstract.Using the Wright's generalized hypergeometric function, we introduce a new class Wk (p,q,s; A, B, A) of analytic p-valent functions with negative coefficients. In this paper we investigate coefficients estimates, distortion theorem, the radii of p-valent starlikeness and p-valent convexity and modified Hadamard products.

The object of the present paper is to investigate some inclusion relations and other interesting properties for certain classes of p-valent functions involving generalized Srivastava-Attiya operator by using the principle of differential subordination. MSC: 30C45

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