Fixed point theory on triple controlled metric-like spaces with a numerical iteration

FM Azmi, S Haque - Symmetry, 2023 - mdpi.com
Fixed point theory is a versatile mathematical theory that finds applications in a wide range
of disciplines, including computer science, engineering, fractals, and even behavioral …

Best Ulam constant for a linear difference equation

AR Baias, F Blaga, D Popa - Carpathian Journal of Mathematics, 2019 - JSTOR
Best Ulam constant for a linear difference equation Page 1 CARPATHIAN J. MATH. 35 (2019),
No. 1, 13 - 22 Online version at http://carpathian.ubm.ro Print Edition: ISSN 1584 - 2851 …

New Fixed Point Theorem on Triple Controlled Metric Type Spaces with Applications to Volterra–Fredholm Integro-Dynamic Equations

K Gopalan, ST Zubair, T Abdeljawad, N Mlaiki - Axioms, 2022 - mdpi.com
The objective of the research article is two-fold. Firstly, we present a fixed point result in the
context of triple controlled metric type spaces with a distinctive contractive condition …

Existence and uniqueness of the solution of the fractional differential equation via a new three steps iteration

HL Tidke, GS Patil - Journal of Fractional Calculus and …, 2023 - jfca.journals.ekb.eg
In this paper, we study the existence, uniqueness, and other qualitative properties of the
solution of the differential equation with initial conditions of fractional order involving the …

Fractional calculus of the extended Bessel-Wright function and its applications to fractional kinetic equations

MP Chaudhary, UM Abubakar - Journal of Fractional Calculus …, 2023 - jfca.journals.ekb.eg
In this article, first of all we introduced a new concept for the $(p, q;\vartheta) $-extended
Bessel-Wright function $ J_ {\omega; p, q}^{\sigma;\varsigma,\lambda}(z;\vartheta) $, and …

A novel numerical technique and stability criterion of VF type integro-differential equations of non-integer order

D Saha, N Sarkar, M Sen, S Saha - International Journal of …, 2022 - ijnaa.semnan.ac.ir
In this article, Ulam Hyers stability of Volterra Fredholm (VF) type fractional integro-
differential equation is studied by the fixed point notion in the generalized metric space. In …

An investigation into the characteristics of VFIDEs with delay: solvability criteria, Ulam–Hyers–Rassias and Ulam–Hyers stability

BA Miah, M Sen, R Murugan, N Sarkar, D Gupta - The Journal of Analysis, 2024 - Springer
This article mainly focuses on studying a class of novel nonlinear Volterra-Fredholm-type
integro-differential equations (VFIDE) with delay. The primary purpose of the study is to …

On iteration method to the solution of more general volterra integral equation in two variables and a data dependence result

S Maldar - Celal Bayar University Journal of Science, 2021 - dergipark.org.tr
Fixed point theory is one of the most important theories and has been studied extensively by
researchers in many disciplines. One of these studies is its application to integral equations …

EXISTENCE AND UNIQUENESS OF SOLUTION OF DIFFERENTIAL EQUATION OF FRACTIONAL ORDER VIA S-ITERATION

HL Tidke, GS Patil, RT More - Facta Universitatis, Series …, 2023 - casopisi.junis.ni.ac.rs
In this paper, we study the existence, uniqueness and other properties of solutions of
differential equation of fractional order involving the Caputo fractional derivative. The tool …

[PDF][PDF] Convergence and stability analysis of a new four-step fixed-point algorithm

Y Atalan, E Kılıç - Aksaray University Journal of Science and …, 2022 - dergipark.org.tr
The concept of stability is studied on many different types of mathematical structures. This
concept can be thought of as the small changes that will be applied in the structure studied …