Banach space

Existence of solutions for Hadamard fractional differential equations in Banach spaces
Abdelouaheb Ardjouni
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
G. Balasubramanian, K. Loganathan*, K. Tamilvanan
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
N. Gunasekaran, S. Pinelas, V. Govindan*
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
K. Loganathan, K. Mohana*, K. Tamilvanan
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
K. Loganathan*, K. Tamilvanan
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.