Results 101 to 110 of about 25,337 (192)
New generalized Pólya–Szegö and Čebyšev type inequalities with general kernel and measure
Advances in Difference Equations, 2020 It is always attractive and motivating to acquire the generalizations of known results. In this article, we introduce a new class C ( h ) $\mathfrak{C(h)}$ of functions which can be represented in a form of integral transforms involving general kernel ...
S. Iqbal +5 more
doaj +1 more source
Finite Difference Method for Infection Model of HPV with Cervical Cancer under Caputo Operator
Discrete Dynamics in Nature and Society, Volume 2024, Issue 1, 2024.In this paper, a fractional model in the Caputo sense is used to characterize the dynamics of HPV with cervical cancer. Generalized mean value theorem has been used to examine whether the infection model has a unique positive solution. The model has two equilibrium points: the disease‐free point and the endemic point.
Bushra Bajjah +2 more
wiley +1 more source
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper investigates the existence of positive solutions for an iterative system of nonlinear two‐point tempered fractional boundary value problem. Utilizing Krasnoselskii’s fixed point theorem in a cone, we establish criteria for the existence of positive solutions.
Sabbavarapu Nageswara Rao +3 more
wiley +1 more source
Fractional Pseudospectral Schemes With Applications to Fractional Optimal Control Problems
Journal of Mathematics, Volume 2024, Issue 1, 2024.This research endeavors to introduce novel fractional pseudospectral methodologies tailored for addressing fractional optimal control problems encompassing inequality constraints and boundary conditions. Leveraging fractional Lagrange interpolation functions, we formulate differential and integral pseudospectral matrices pivotal in discretizing ...
M. Sahabi +2 more
wiley +1 more source
Demonstratio Mathematica, 2019 In this study we introduced and tested retarded conformable fractional integral inequalities utilizing non-integer order derivatives and integrals. In line with this purpose, we used the Katugampola type conformable fractional calculus which has several ...
Usta Fuat, Sarıkaya Mehmet Zeki
doaj +1 more source
Inverse Nodal Problem for a Conformable Fractional Diffusion Operator
, 2020 In this paper, a diffusion operator including conformable fractional derivatives of order {\alpha} ({\alpha} in (0,1)) is considered. The asymptotics of the eigenvalues, eigenfunctions and nodal points of the operator are obtained.
Çakmak, Yaşar
core
On Hilfer generalized proportional fractional derivative
Advances in Difference Equations, 2020 Motivated by the Hilfer and the Hilfer–Katugampola fractional derivative, we introduce in this paper a new Hilfer generalized proportional fractional derivative, which unifies the Riemann–Liouville and Caputo generalized proportional fractional ...
Idris Ahmed +4 more
doaj +1 more source
New fractional estimates for Hermite-Hadamard-Mercer’s type inequalities
Alexandria Engineering Journal, 2020 An analogous version of Hermite-Hadamard-Mercer’s inequality has been established using the Katugampola fractional integral operators. The result is the generalization of the Riemann-Liouville fractional integral operator combined with the left and right
Hong-Hu Chu +3 more
doaj +1 more source
A Generalized Fractional Calculus of Variations
, 2013 We study incommensurate fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives and generalized fractional integrals and derivatives.
Malinowska, Agnieszka B. +2 more
core
The Generalized Fractional Calculus of Variations
, 2014 We review the recent generalized fractional calculus of variations. We consider variational problems containing generalized fractional integrals and derivatives and study them using indirect methods.
Odzijewicz, Tatiana +1 more
core