Banach space

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.

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.

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.

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

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.