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Open AccessArticle

Existence of solutions for Hadamard fractional differential equations in Banach spaces

Annals of Communications in Mathematics 2021

, 4 (1)

, 1-9

DOI: https://doi.org/10.62072/acm.2021.040101

AbstractIn this work, we investigate the existence of solutions for Hadamard fractional differential equations with integral boundary conditions in a Banach space. We will make use the measure of noncompactness and the Monch fixed point theorem to prove the ¨ main results. An example is given to illustrate our results.
Open AccessArticle

Stability of finite variable quartic functional equation in classical methods

Annals of Communications in Mathematics 2020

, 3 (4)

, 285-292

DOI: https://doi.org/10.62072/acm.2020.030405

AbstractIn this work, we investigate the Hyers-Ulam stability by using direct and fixed point methods for the quartic functional equation for positive integer p ≥ 3.
Open AccessArticle

Fuzzy stability results of additive functional equation in different approaches

Annals of Communications in Mathematics 2020

, 3 (3)

, 208-217

DOI: https://doi.org/10.62072/acm.2020.030304

AbstractIn this paper, we investigate some stability results of the following finite dimensional additive functional equation where n is the positive integer with N − {0, 1, 2} and k is the only odd positive integers, in Fuzzy Normed space using direct and fixed point approaches.
Open AccessArticle

Generalized U-H stability of cubic mappings

Annals of Communications in Mathematics 2020

, 3 (2)

, 152-157

DOI: https://doi.org/10.62072/acm.2020.030204

AbstractIn this work, we investigate the generalized Ulam-Hyers stability of the ωdimensional cubic functional equation where ω ≥ 4, in Banach spaces using direct and fixed point methods.
Open AccessArticle

Ulam stability for finite variable quadratic functional equation in Banach algebra

Annals of Communications in Mathematics 2020

, 3 (2)

, 177-184

DOI: https://doi.org/10.62072/acm.2020.030207

AbstractHere, we define a cube sum labeling and cube sum graph. Let G be a (p, q) graph. G is said to be a cube sum graph if there exist a bijection f : V (G) → {0, 1, . . . , p − 1} such that the induced function f ∗ : E(G) → N given by are all distinct. In this paper, we developed the concept of cube sum labeling of some family of graphs like paths, cycle, stars, wheel graph, fan graphs are discussed in this paper.
Open AccessArticle

Stability of 4-variable quadratic functional equation in Banach spaces

Annals of Communications in Mathematics 2020

, 3 (1)

, 80-87

DOI: https://doi.org/10.62072/acm.2020.030108

AbstractIn this work, authors investigate the generalized Hyers-Ulam stability of the 4-variable quadratic functional equation of the form
Open AccessArticle

Fuzzy Stability for Finite Variable Additive Functional Equation in Classical Methods

Annals of Communications in Mathematics 2020

, 3 (1)

, 107-115

DOI: https://doi.org/10.62072/acm.2020.030111

AbstractWe examine the Ulam-Hyers stability of finite variable additive functional equation in fuzzy normed space using classical methods.
Open AccessArticle

Random coupled Caputo-Hadamard fractional differential systems with four- point boundary conditions in generalized banach spaces

Annals of Communications in Mathematics 2019

, 2 (1)

, 32-47

DOI: https://doi.org/10.62072/acm.2019.020105

AbstractThis paper deals with some existence and uniqueness of random solutions for a coupled system of Caputo–Hadamard fractional differential equations with four-point boundary conditions and random effects in generalized Banach spaces. Some applications are made of generalizations of classical random fixed point theorems on generalized Banach spaces. An illustrative example is presented in the last section.