Results 171 to 174 of about 1,363 (174)

Simpson Type Estimations for Convex Functions via Quantum Calculus

Annals of Mathematics and Physics
We first establish a new identity including quantum integrals and quantum numbers via q -differentiable functions. After that, with the help of this equality, a Simpson-type inequality for functions whose quantum derivatives in modulus are convex is ...
Erden Samet, Alp Necmettin, Iftikhar Sabah   +2 more
semanticscholar   +1 more source

The ground states for the non-cooperative autonomous systems involving the fractional Laplacian

, 2022
The aim of this paper is to study the the following non-cooperative autonomous systems involving the fractional Laplacian(−∆)su + λu = g(v), in RN,(−∆)sv + λv = f(u), in RN,where s ∈ (0, 1), N > 2s, λ > 0, (−∆)s is the fractional Laplacian and f and g ...
Suhong Li, Limeng Wu, Shiqian He, Lingmin Zhang   +3 more
semanticscholar   +1 more source

On the nonlinear sequential ψ-Hilfer fractional differential equations

, 2020
In this paper, we discuss the existence and uniqueness of solutions for a class of nonlinear sequential ψ-Hilfer fractional differential equations. This investigation is carried out by means of Schaefer’s fixed point theorem and modified version of ...
M. Abbas
semanticscholar   +1 more source

Existence, regularity and representation of solutions of time fractional diffusion equations

Advances in Differential Equations, 2016
Using regularized resolvent families, we investigate the solvability of the fractional order inhomogeneous Cauchy problem Dt u(t) = Au(t) + f(t), t > 0, 0 < α ≤ 1, where Dt is the Caputo fractional derivative of order α, A a closed linear operator on ...
V. Keyantuo, C. Lizama, M. Warma
semanticscholar   +1 more source