In this study, sinc-collocation method is introduced for solving Volterra-Fredholm integrodifferential equations of fractional order. Fractional derivative is described in the Caputo sense. Obtained results are given to literature as a new theorem. Some numerical examples are presented to demonstrate the theoretical results.

In this paper we introduce a new type of quantum calculus, the $p$-calculus involving two concepts of $p$-derivative and $p$-integral. After familiarity with them some results are given.

In this paper some generalizations of Buzano inequality for $n$-tuples of vectors in inner product spaces are given. Applications for norm and numerical radius inequalities for $n$-tuples of bounded linear operators and for functions of normal operators defined by power series with nonnegative coefficients are also provided.

In this paper, we investigate some double paranormed sequence spaces which are domain of the double generalized Cesàro matrix $R^q$ in some double sequence spaces. We also determined of $\alpha-$dual of $\mathcal{R}_{u}(t)$ which is the space of double sequences whose $R^q-$transforms are bounded and examined some linear and topological properties of these sequence spaces.

In this paper, a general theorem on absolute Riesz summability factors of infinite series is proved under weaker conditions. Also we have obtained some new and known results.

The main aim of this article is to established certain symmetry identities for the 2-variable Apostol type polynomials. The symmetry identities for some special polynomials related to the 2-variable Apostol type polynomials are deduced as special cases. Certain interesting examples are considered to establish the symmetry identities for the 2-variable Gould-Hopper-Apostol type, 2-variable generalized Laguerre-Apostol type and 2-variable truncated exponential-Apostol type polynomials. The special cases of the symmetry identities associated with these polynomials are also given.

The main idea of this paper is to present the collection of $p_{I}^{\star }$-open sets in ideal spaces. The relationships, characterizations and main properties of $p_{I}^{\star }$-open sets are obtained.

In this paper, we introduce and investigate a subclass $N_{\Sigma}^{h, p}(n, \delta, \mu, \lambda) $ of analytic and bi-univalent functions in the open unit disk $\mathbb{U}$. Upper bounds for the second and third coefficients of functions in this subclass are founded. Our results, which are presented in this paper, generalize and improve those in related works of several earlier authors.

In this note we analyze Morava K-theory rings of classifying spaces of some groups of order 32 via Hilbert-Poincaré polynomials.

We consider the problem of approximation of a continuous multivariate function by sums of two ridge functions in the uniform norm. We obtain a formula for the approximation error in terms functionals generated by closed paths.

In this paper, the Hermite based Appell matrix polynomials are introduced by using certain operational methods. Some properties of these polynomials are considered. Further, some results involving the 2D Appell polynomials are established, which are proved to be useful for the derivation of results involving the Hermite based Appell matrix polynomials.

In this study, several new inequalities of local fractional integrals are presented.

In this paper, we investigate the problems concerning meromorphic functions sharing a small function with their derivatives. We study the uniqueness of meromorphic functions of the form and using the notion of weighted sharing

In this paper, we present two new fuzzy inner product spaces and investigate some basic properties of these spaces. Specially, we prove parallelogram law for two and three vectors. Also, we introduce a suitable notion of orthogonality.

In this paper, we determine the rate of pointwise convergence of the Chlodowsky type Durrmeyer Jakimovski-Leviatan operators $L^{\ast}_{n}(f,x)$ for functions of bounded variation. We use some methods and techniques of probability theory to prove our main result.

In this paper, we introduce a Stancu type generalization of modified Jain-Baskakov operators with parameter $c$. We studied some direct results in ordinary approximation. Also, the rate of convergence in terms of the modulus of continuity and weighted approximation by these operators are studied. Lastly, we give better estimations of the above operators using King type approach.

We provide some new fixed point results which are inspired by the works of Suzuki and Kannan. The results are proved using the properties of sequentially convergent mappings and $A$-contractions. Existence and uniqueness of fixed points of self maps satisfying certain conditions are investigated in a complete metric space.

The purpose of this paper is to establish a fairly large number of sets of second-order parameter-free sufficient optimality conditions for a discrete minmax fractional programming problem. Our effort to accomplish this goal is by utilizing various new classes of generalized second-order $(\phi,\eta,\rho,\theta,m)$-invex functions, which generalize most of the concepts available in the literature.

We show the inheritance of summable property for certain fully invariant submodules by the $QTAG$-modules and vice versa. Important generalizations and extensions of classical results in this direction are also established.