##### Volume 1 (2019)
Articles in Press:

##### Non-stabilities of mixed type Euler-Lagrange k-cubic-quartic functional equation in various normed spaces

John Michael Rassias; Mohan Arunkumar; Elumalai Sathya

Volume 1, Issue 1 , February 2019, , Pages 1-43
##### Abstract
In this paper, we introduce and examine the generalized Ulam-Hyers stability of fixed Euler-Lagrange  k-Cubic-Quartic functional Equationf(x+ky) + f(kx+y) + f(x-ky) + f(y-kx) = ...  Read More

##### Toeplitzness of weighted composition operators

Massoud Salehi Sarvestani

Volume 2, Issue 1 , April 2020, , Pages 1-8
##### Abstract
For a bounded analytic map ψ on the unit disk D and analytic self-map  φ of D, a weighted composition operator Cψ,φ on the Hardy space H2=H2(D) is ...  Read More

##### Analytic differenceability of functions

Volume 3, Issue 1 , February 2021, , Pages 1-12
##### Abstract
Analytic summability of functions was introduced by Hooshmand in 2016. He used Bernoulli numbers and polynomials Bn(z) to define analytic summability and related analytic summand functions. ...  Read More

##### Intuitionistic fuzzy stability of the heptic functional equation

Volume 3, Issue 2 , June 2021, , Pages 1-14
##### Abstract
In this article, by using a fixed point method, we establish the intuitionistic fuzzy version of Hyers-Ulam stability for a heptic functional equation that was introduced by Xu and ...  Read More

##### On various types of compatible Jungck--Rhoades pairs of mappings in C*-algebra valued metric spaces

Parveen Kumar; Nicola Fabiano; Ljiljana Paunovic

Volume 3, Issue 3 , September 2021, , Pages 1-25
##### Abstract
In this paper, among other things, we have established four different types of compatible mappings that work in the context of C*-algebra valued metric spaces. The obtained ...  Read More

##### An existence result for a class of (p(x),q(x))-Laplacian system via sub-supersolution method

Saleh Shakeri

Volume 3, Issue 4 , December 2021, , Pages 1-8
##### Abstract
This study concerns the existence of positive solution for the following nonlinear boundary value problem\begin{gather*}-\Delta_{p(x)} u= a(x)h(u) + f(v) \quad\text{in }\Omega\\-\Delta_{q(x)} ...  Read More

##### Best simultaneous approximation in $L^{p}(S,X)$

Volume 4, Issue 1 , January 2022, , Pages 1-7
##### Abstract
As a counterpart to the best approximation in normed linear spaces, the best simultaneous approximation was introduced. In this paper, we shall consider relation between simultaneous ...  Read More

##### Some critical remarks of recent results on F-contractions in b-metric spaces

Mudasir Younis; Nicola Fabiano; Mirjana Pantovic; Stojan Radenovic

Volume 4, Issue 2 , April 2022, , Pages 1-10
##### Abstract
In this paper, we analyze, generalize and correct some recent results on F-contractions within b-metric spaces. In all results, our only assumption is the strict growth of the function ...  Read More

##### On some new observations on Kurepa's left factorial

Nicola Fabiano; Nikola Mirkov; Zoran D. Mitrovic; Stojan Radenovic

Volume 4, Issue 3 , June 2022, , Pages 1-8
##### Abstract
After a brief historical excursus, we prove in a simple way some properties of Kurepa's function, the left factorial. We introduce Kurepa's hypothesis,  propose a new description, ...  Read More

##### On various properties of module Lau product of algebras

Prakash A. Dabhi; Yuvraj D. Pipaliya

Volume 4, Issue 4 , December 2022, , Pages 1-12
##### Abstract
Let $\mathcal{A},$ $\mathcal{B},$ and $\mathcal{X}$ be complex algebras, $\theta : \mathcal{B} \longrightarrow \mathcal{X}$ be an algebra homomorphism, and let $\mathcal{A}$ be an $\mathcal{X}$-bimodule. ...  Read More

##### A simple method to solve nonlinear Volterra-Fredholm integro-differential equations

Volume 2, Issue 1 , April 2020, , Pages 9-16
##### Abstract
In this paper, a new simple direct method to solve nonlinear Fredholm-Volterra integral equations is presented. By using Block-pulse (BP) functions, their operational matrices and Taylor ...  Read More

##### On closedness of convolution of two sets

Volume 3, Issue 4 , December 2021, , Pages 9-12
##### Abstract
In this note, we give an abstract version of the fact that convolution of two closed and compact subsets of a hypergroup is a closed set.  Read More

##### Perturbed second-order state-dependent Moreau's sweeping process

Doria Affane; Mustapha Fateh Yarou

Volume 4, Issue 1 , January 2022, , Pages 9-23
##### Abstract
In this paper, using a discretization approach, the existence of solutions for a class of second-order differential inclusions is stated in finite dimensional setting. The right hand ...  Read More

##### Stability analysis of transmitter receptors model

Dhamodharan D; B. Mohamed Harif; Bonyah Ebenezer

Volume 4, Issue 3 , June 2022, , Pages 9-16
##### Abstract
The Jumarie fractional-order transmitter receptors model is discussed in this paper. Transmitter receptors can be found in a variety of states, including accumulated, freed, combined ...  Read More

##### Automatic continuity of almost Jordan derivations on special Jordan Banach algebras

Volume 4, Issue 2 , April 2022, , Pages 11-16
##### Abstract
The following is the question form of Kaplansky conjecture of 1958. Is every derivation on semisimple Banach algebra continuous? Kaplansky conjecture was proved by Johnson and Sinclair ...  Read More

##### Generalized Ulam-Hyers stability of an alternate additive-quadratic-quartic functional equation in fuzzy Banach spaces

John Michael Rassias; Elumalai Sathya; Mohan Arunkumar

Volume 3, Issue 1 , February 2021, , Pages 13-31
##### Abstract
In this paper, we obtain and establish the generalized Ulam-Hyers stability of an additive-quadratic-quartic functional equation in fuzzy Banach spaces.  Read More

##### On a nonlinear abstract second-order integrodifferential equation part I

Mohammed Aijazuddin Hussain

Volume 3, Issue 4 , December 2021, , Pages 13-24
##### Abstract
The object of this paper is to study the existence, uniqueness and continuation of the solutions of nonlinear second-order integrodifferential equations. In the theory of infinitesimal ...  Read More

##### Anti complex fuzzy Lie subalgebras under $S$-norms

Rasul Rasuli

Volume 4, Issue 4 , December 2022, , Pages 13-26
##### Abstract
The objectives of this article are to present the notions of anti complex fuzzy subalgebras and anti complex fuzzy ideals of Lie algebras under  $S$-norms and we prove that the ...  Read More

##### On character amenability of weighted convolution algebras on certain semigroups

Volume 3, Issue 2 , June 2021, , Pages 15-26
##### Abstract
In this work, we study the character amenability of weighted convolution algebras $\ell^{1} (S,\omega)$, where $S$ is a semigroup of classes of inverse semigroups with a uniformly ...  Read More

##### The generalized Hyers–Ulam stability of derivations in non-Archimedean Banach algebras

Abolfazl Niazi Motlagh

Volume 2, Issue 1 , April 2020, , Pages 17-22
##### Abstract
In this paper, the generalized Hyers-Ulam stability of the functional inequality||f(a)+f(b)+cf(d)+f(c)d||≤||kf((a+b+cd)/k)||,      |k|<|2|,in non-Archimedean ...  Read More

##### t-norms over fuzzy ideals (implicative, positive implicative) of BCK-algebras

Rasul Rasuli

Volume 4, Issue 2 , April 2022, , Pages 17-34
##### Abstract
In this paper, we use the notion of t-norms to introduce fuzzy subalgebras, fuzzy ideals, fuzzy implicative ideals, fuzzy positive implicative ideals in BCK-algebras. Next, we clarify ...  Read More

##### Intuitionistic fuzzy BCI-algebras (implicative ideals, closed implicative ideals, commutative ideals) under norms

Rasul Rasuli

Volume 4, Issue 3 , June 2022, , Pages 17-34
##### Abstract
In this article, by using norms($T$ and $C$), we present the concept of intuitionistic fuzzy implicative ideals,  intuitionistic fuzzy closed implicative ideals and intuitionistic ...  Read More

##### Locally finite inverse semigroups

Somaye Grailoo Tanha

Volume 2, Issue 1 , April 2020, , Pages 23-27
##### Abstract
In this article, we study locally finite inverse semigroup S and characterize the structure of idempotents of S which are either a well-ordered countable chain or union of ...  Read More

##### Numerical solution of a coupled system of fractional order integro differential equations by an efficient numerical method based on the second kind Chebyshev polynomials

Let $P(z)=a_0 + a_1z + \dots + a_{n-1}z^{n-1}+z^n$ be a polynomial of degree $n.$  The Gauss-Lucas Theorem asserts that the zeros of the derivative \$P^\prime (z)= a_1 + \dots ...  Read More