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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

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

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.