Sharp error bounds for the trapezoidal rule and Simpson's rule.
Sharp estimates of the curvature of some free boundaries in two dimensions.
Sharpening of Jordan's inequality and its applications.
Sierpiński's hierarchy and locally Lipschitz functions
Let Z be an uncountable Polish space. It is a classical result that if I ⊆ ℝ is any interval (proper or not), f: I → ℝ and then f ○ g ∈ for every if and only if f is continuous on I, where stands for the αth class in Baire’s classification of Borel measurable functions. We shall prove that for the classes in Sierpiński’s classification of Borel measurable functions the analogous result holds where the condition that f is continuous is replaced by the condition that f is locally Lipschitz...
Sign changes in linear combinations of derivatives and convolutions of Polya frequency functions.
Slowly oscillating continuity.
Smooth Cantor functions
We characterise the set on which an infinitely differentiable function can be locally polynomial.
Smooth rough paths and applications to Fourier analysis.
Smoothness in disjoint groups of real functions under composition.
Smoothness of vector sums of plane convex sets.
Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations
Mathematics Subject Classification: 26A33, 34A25, 45D05, 45E10We consider ordinary fractional differential equations with Caputo-type differential operators with smooth right-hand sides. In various places in the literature one can find the statement that such equations cannot have smooth solutions. We prove that this is wrong, and we give a full characterization of the situations where smooth solutions exist. The results can be extended to a class of weakly singular Volterra integral equations.
Solitary wave solutions for a time-fraction generalized Hirota-Satsuma coupled KdV equation by a new analytical technique.
Solution of an extraordinary differential equation by Adomian decomposition method.
Solution of some weight problems for the Riemann-Liouville and Weyl operators.
Solution of Space-Time Fractional Schrödinger Equation Occurring in Quantum Mechanics
Dedicated to Professor A.M. Mathai on the occasion of his 75-th birthday. Mathematics Subject Classi¯cation 2010: 26A33, 44A10, 33C60, 35J10.The object of this article is to present the computational solution of one-dimensional space-time fractional Schrödinger equation occurring in quantum mechanics. The method followed in deriving the solution is that of joint Laplace and Fourier transforms. The solution is derived in a closed and computational form in terms of the H-function. It provides an elegant...
Solution of Volterra-type integro-differential equations with a generalized Lauricella confluent hypergeometric function in the kernels.
Solutions of bounded variation of a linear homogeneous functional equation in the indeterminate case.
Solutions of bounded variation of a linear homogeneous functional equation in the indeterminate case. (Short Communication).
Solutions of Bounder Variation of a Linear Homogeneous Functional Equation
Solutions to boundary-value problems for nonlinear differential equations of fractional order.