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Publications Influence

Quantum calculus on finite intervals and applications to impulsive difference equations

- J. Tariboon, S. Ntouyas
- Mathematics
- 7 November 2013

In this paper we initiate the study of quantum calculus on finite intervals. We define the qk-derivative and qk-integral of a function and prove their basic properties. As an application, we prove… Expand

99 11

Quantum integral inequalities on finite intervals

- J. Tariboon, S. Ntouyas
- Mathematics
- 26 March 2014

In this paper, some of the most important integral inequalities of analysis are extended to quantum calculus. These include the Hölder, Hermite-Hadamard, trapezoid, Ostrowski,… Expand

75 10

Some New Riemann-Liouville Fractional Integral Inequalities

- J. Tariboon, S. Ntouyas, W. Sudsutad
- Mathematics, Computer Science
- Int. J. Math. Math. Sci.
- 10 March 2014

TLDR

33 3- PDF

New concepts of fractional quantum calculus and applications to impulsive fractional q-difference equations

- J. Tariboon, S. Ntouyas, P. Agarwal
- Mathematics
- 30 January 2015

In this paper we define new concepts of fractional quantum calculus by defining a new q-shifting operator. After giving the basic properties we define the q-derivative and q-integral. New definitions… Expand

65 2

Quantum integral inequalities for convex functions

- W. Sudsutad, S. Ntouyas, J. Tariboon
- Mathematics
- 2015

In this paper we establish some new quantum integral inequalities for convex functions.

45 2- PDF

Existence and Ulam–Hyers stability for Caputo conformable differential equations with four-point integral conditions

- Aphirak Aphithana, S. Ntouyas, J. Tariboon
- Mathematics
- 1 December 2019

In this article, we investigate the existence and uniqueness of solutions for conformable derivatives in the Caputo setting with four-point integral conditions, applying standard fixed point theorems… Expand

9 2

Nonlinear second-order impulsive q-difference Langevin equation with boundary conditions

- J. Tariboon, S. Ntouyas
- Mathematics
- 2 May 2014

In this paper, we discuss the existence and uniqueness of solutions for Langevinimpulsive q-difference equations with boundary conditions. Our studyrelies on Banach’s and Schaefer’s fixed point… Expand

4 2

A Study of nonlinear fractional-order boundary Value Problem with nonlocal Erdelyi-Kober and generalized Riemann-Liouville Type integral boundary conditions

- B. Ahmad, S. Ntouyas, J. Tariboon, A. Alsaedi
- Computer Science, Mathematics
- Math. Model. Anal.
- 18 March 2017

TLDR

17 2

Positive Solutions of a Nonlinear Three-Point Integral Boundary Value Problem

- J. Tariboon, T. Sitthiwirattham
- Mathematics
- 20 September 2010

We study the existence of positive solutions to the three-point integral boundary value problem , , , , where and . We show the existence of at least one positive solution if f is either superlinear… Expand

24 2- PDF

Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

- B. Ahmad, A. Alsaedi, S. Ntouyas, J. Tariboon
- Mathematics
- 17 March 2017

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