Functional Equations: Methods and Applications

Topic Information

Dear Colleagues,

Functional equations are a very broad topic within mathematics. They are broad in the sense that they appear in almost all mathematical areas: ranging from elementary trigonometric functions to quantum groups. They are broad also in the sense that one can find applications of functional equations in physics, engineering and even social sciences. The aim of this topic is to present a brief insight into the importance of functional equations in pure and applied mathematics. All papers related to the topic of functional equations are welcomed, including both original research articles and surveys; papers on both pure mathematics and applied mathematics; and papers on the computational aspects of functional equations. We would particularly like to encourage research related to number theory and L-functions; however, all other areas are also welcomed.

Prof. Dr. Yunyun Yang
Prof. Dr. Gabriele Bonanno
Prof. Dr. Sandra Pinelas
Topic Editors

Keywords

Participating Journals

Journal Name	Impact Factor	CiteScore	Launched Year	First Decision (median)	APC
AppliedMath appliedmath	0.7	1.1	2021	20.6 Days	CHF 1200	Submit
Axioms axioms	1.6	-	2012	21.7 Days	CHF 2400	Submit
Geometry geometry	-	-	2024	15.0 days *	CHF 1000	Submit
Mathematics mathematics	2.2	4.6	2013	17.3 Days	CHF 2600	Submit
Symmetry symmetry	2.2	5.3	2009	15.8 Days	CHF 2400	Submit

* Median value for all MDPI journals in the second half of 2025.

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Published Papers (2 papers)

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All AppliedMath Mathematics Symmetry Geometry Axioms

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17 pages, 661 KB  

Open AccessArticle

On Absolute q-Cesàro Summability Methods for Double Sequences

by Fadime Gökçe

Mathematics 2026, 14(5), 923; https://doi.org/10.3390/math14050923 - 9 Mar 2026

Viewed by 235

Abstract

In the present paper, a novel absolute summability method, denoted by $|C^q{,\theta |}_s$, is introduced for double sequences via the q-Cesàro matrix. The study also focuses on determining the necessary and sufficient conditions for various inclusion [...] Read more.

In the present paper, a novel absolute summability method, denoted by $|C^q{,\theta |}_s$, is introduced for double sequences via the q-Cesàro matrix. The study also focuses on determining the necessary and sufficient conditions for various inclusion relations, as well as comparing this method with existing absolute summability methods. In particular, the implications $|C^p,\varphi |\Rightarrow |C^q{,\theta |}_s$, $|C^q{,\theta |}_s\Rightarrow |C^p,\varphi |$, and $|C^p{,\varphi |}_s\Rightarrow {|C^q,\theta |}_s$ are fully characterized. The obtained results extend known summability frameworks for double series and highlight the role of q-analogues in providing a flexible and unifying approach to absolute summability theory. Full article

(This article belongs to the Topic Functional Equations: Methods and Applications)

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11 pages, 1298 KB  

Open AccessArticle

A Modified Auxiliary Method for Efficient Solutions to the (2+1)-Dimensional Variable-Coefficient Burgers’ Equation

by Yiman Han and Yanni Zhang

Axioms 2025, 14(12), 882; https://doi.org/10.3390/axioms14120882 - 29 Nov 2025

Viewed by 300

Abstract

This paper explores an innovative expansion method for solving variable-coefficient partial differential equations. Combining specific auxiliary equations with the aid of mathematical software, our method achieves notable perspectives for understanding and solving related physical problems. The validity of this method was verified through [...] Read more.

This paper explores an innovative expansion method for solving variable-coefficient partial differential equations. Combining specific auxiliary equations with the aid of mathematical software, our method achieves notable perspectives for understanding and solving related physical problems. The validity of this method was verified through the (2+1)-dimensional variable-coefficient Burgers’ equation, and the results were visualized using three-dimensional surface plots. This study proposes an effective method for solving partial differential equations that holds broad application prospects in the field of fluid physics. Full article

(This article belongs to the Topic Functional Equations: Methods and Applications)

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