pheak neang - Academia.edu (original) (raw)

Related Authors

Mahmoud M Mekkawi

Suman Paul

Kiran  Dasari

Alhussein Adham Basheer

Pedro de Andres

Pedro de Andres

CSIC (Consejo Superior de Investigaciones Científicas-Spanish National Research Council)

Amin E Khalil

Hendra Grandis

Jonathan D Maltz

Roland Kröger

C. Papazachos

Uploads

Papers by pheak neang

Research paper thumbnail of Fractional (p,q)-Calculus on Finite Intervals and Some Integral Inequalities

Symmetry, Mar 19, 2021

This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY

Research paper thumbnail of Existence and Uniqueness Results for Fractional (p, q)-Difference Equations with Separated Boundary Conditions

Mathematics, Feb 28, 2022

This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY

Research paper thumbnail of Nonlocal Boundary Value Problems of Nonlinear Fractional (p,q)-Difference Equations

Fractal and Fractional, 2021

In this paper, we study nonlinear fractional (p,q)-difference equations equipped with separated n... more In this paper, we study nonlinear fractional (p,q)-difference equations equipped with separated nonlocal boundary conditions. The existence of solutions for the given problem is proven by applying Krasnoselskii’s fixed-point theorem and the Leray–Schauder alternative. In contrast, the uniqueness of the solutions is established by employing Banach’s contraction mapping principle. Examples illustrating the main results are also presented.

Research paper thumbnail of Some trapezoid and midpoint type inequalities via fractional <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><mi>p</mi><mo separator="true">,</mo><mi>q</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">(p,q)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mord mathnormal">p</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">q</span><span class="mclose">)</span></span></span></span>-calculus

Advances in Difference Equations, 2021

Fractional calculus is the field of mathematical analysis that investigates and applies integrals... more Fractional calculus is the field of mathematical analysis that investigates and applies integrals and derivatives of arbitrary order. Fractionalq-calculus has been investigated and applied in a variety of research subjects including the fractionalq-trapezoid andq-midpoint type inequalities. Fractional$(p,q)$(p,q)-calculus on finite intervals, particularly the fractional$(p,q)$(p,q)-integral inequalities, has been studied. In this paper, we study two identities for continuous functions in the form of fractional$(p,q)$(p,q)-integral on finite intervals. Then, the obtained results are used to derive some fractional$(p,q)$(p,q)-trapezoid and$(p,q)$(p,q)-midpoint type inequalities.

Research paper thumbnail of Fractional (p,q)-Calculus on Finite Intervals and Some Integral Inequalities

Symmetry, 2021

Fractional q-calculus has been investigated and applied in a variety of fields in mathematical ar... more Fractional q-calculus has been investigated and applied in a variety of fields in mathematical areas including fractional q-integral inequalities. In this paper, we study fractional (p,q)-calculus on finite intervals and give some basic properties. In particular, some fractional (p,q)-integral inequalities on finite intervals are proven.

Research paper thumbnail of Nonlocal Boundary Value Problems of Nonlinear Fractional (p,q)-Difference Equations

Fractal and fractional, Dec 10, 2021

This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY

Research paper thumbnail of Fractional (p,q)-Calculus on Finite Intervals and Some Integral Inequalities

Symmetry, Mar 19, 2021

This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY

Research paper thumbnail of Existence and Uniqueness Results for Fractional (p, q)-Difference Equations with Separated Boundary Conditions

Mathematics, Feb 28, 2022

This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY

Research paper thumbnail of Nonlocal Boundary Value Problems of Nonlinear Fractional (p,q)-Difference Equations

Fractal and Fractional, 2021

In this paper, we study nonlinear fractional (p,q)-difference equations equipped with separated n... more In this paper, we study nonlinear fractional (p,q)-difference equations equipped with separated nonlocal boundary conditions. The existence of solutions for the given problem is proven by applying Krasnoselskii’s fixed-point theorem and the Leray–Schauder alternative. In contrast, the uniqueness of the solutions is established by employing Banach’s contraction mapping principle. Examples illustrating the main results are also presented.

Research paper thumbnail of Some trapezoid and midpoint type inequalities via fractional <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><mi>p</mi><mo separator="true">,</mo><mi>q</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">(p,q)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mord mathnormal">p</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">q</span><span class="mclose">)</span></span></span></span>-calculus

Advances in Difference Equations, 2021

Fractional calculus is the field of mathematical analysis that investigates and applies integrals... more Fractional calculus is the field of mathematical analysis that investigates and applies integrals and derivatives of arbitrary order. Fractionalq-calculus has been investigated and applied in a variety of research subjects including the fractionalq-trapezoid andq-midpoint type inequalities. Fractional$(p,q)$(p,q)-calculus on finite intervals, particularly the fractional$(p,q)$(p,q)-integral inequalities, has been studied. In this paper, we study two identities for continuous functions in the form of fractional$(p,q)$(p,q)-integral on finite intervals. Then, the obtained results are used to derive some fractional$(p,q)$(p,q)-trapezoid and$(p,q)$(p,q)-midpoint type inequalities.

Research paper thumbnail of Fractional (p,q)-Calculus on Finite Intervals and Some Integral Inequalities

Symmetry, 2021

Fractional q-calculus has been investigated and applied in a variety of fields in mathematical ar... more Fractional q-calculus has been investigated and applied in a variety of fields in mathematical areas including fractional q-integral inequalities. In this paper, we study fractional (p,q)-calculus on finite intervals and give some basic properties. In particular, some fractional (p,q)-integral inequalities on finite intervals are proven.

Research paper thumbnail of Nonlocal Boundary Value Problems of Nonlinear Fractional (p,q)-Difference Equations

Fractal and fractional, Dec 10, 2021

This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY

Log In