Results 61 to 70 of about 1,529 (136)

Some post quantum Milne type inequalities with simulation

Ain Shams Engineering Journal
Post quantum Milne-type inequalities involving the Riemann-Liouville fractional integral offer mathematical frameworks for evaluating and bounding quantum states and for addressing modern challenges in applied mathematics and physics.
Sobia Rafeeq, Sabir Hussain, Yuanheng Wang   +2 more
doaj   +1 more source

Some Nonlinear Gronwall-Bellman-Gamidov Integral Inequalities and Their Weakly Singular Analogues with Applications

Abstract and Applied Analysis, 2014
Some Gronwall-Bellman-Gamidov type integral inequalities with power nonlinearity and their weakly singular analogues are established, which can give the explicit bound on solution of a class of nonlinear fractional integral equations.
Kelong Cheng, Chunxiang Guo, Min Tang
doaj   +1 more source

Generalized fractional integral inequalities of Hermite–Hadamard type for (α,m) ${(\alpha,m)}$-convex functions

Journal of Inequalities and Applications, 2019
In the paper, the authors establish some generalized fractional integral inequalities of the Hermite–Hadamard type for (α,m) $(\alpha,m)$-convex functions, show that one can find some Riemann–Liouville fractional integral inequalities and classical ...
Feng Qi, Pshtiwan Othman Mohammed, Jen-Chih Yao, Yong-Hong Yao   +3 more
doaj   +1 more source

On Some Generalized Fractional Integral Inequalities for p-Convex Functions

Fractal and Fractional, 2019
In this paper, firstly we have established a new generalization of Hermite−Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann−Liouville fractional integral operators introduced by Raina ...
Seren Salaş, Yeter Erdaş, Tekin Toplu, Erhan Set   +3 more
doaj   +1 more source

Fractional Calculus for Type 2 Interval-Valued Functions

Fractal and Fractional
This paper presents a contemporary introduction of fractional calculus for Type 2 interval-valued functions. Type 2 interval uncertainty involves interval uncertainty with the goal of more assembled perception with reference to impreciseness.
Mostafijur Rahaman, Dimplekumar Chalishajar, Kamal Hossain Gazi, Shariful Alam, Soheil Salahshour, Sankar Prasad Mondal   +5 more
doaj   +1 more source

Fractional-order Chelyshkov collocation method for solving variable-order fractional differential equations

Journal of Inequalities and Applications
This paper presents an efficient numerical method for solving variable-order fractional differential equations (VO-FDEs) by using the fractional-order Chelyshkov functions (FCHFs).
M. S. Al-Sharif, A. I. Ahmed, M. S. Salim   +2 more
doaj   +1 more source

Some new k-Riemann-Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0. [PDF]

J Inequal Appl, 2018
Nwaeze ER, Kermausuor S, Tameru AM.
europepmc   +1 more source

New Integral Inequalities in Quantum Calculus

International Journal of Analysis and Applications, 2015
In this paper, we study the q-analogue of Klamkin-McLenaghan's and Grueb-Reinboldt's inequalities then we use the Riemann-Liouville fractional q-integral to get some new integral results.
Kamel Brahim, Sabrina Taf, Bochra Nefzi
doaj   +2 more sources

New adaptive memory stochastic fractional operators and their applications in computational intelligence. [PDF]

Sci Rep
Khan TU, Al-Juaid BS, Markarian C.
europepmc   +1 more source

A numerical framework for fractional and fractal-fractional analysis of the Pehlivan chaotic system using Caputo derivative. [PDF]

Sci Rep
Vinoth R, Jayalakshmi M.
europepmc   +1 more source