The purpose of this paper is to solve the seventh-order functional equation as follows:  --------------------------- Next, we study the stability of this type of functional equation. Clearly, the function ----------  holds in this type functional equation. Also, we prove Hyers-Ulam stability for this type functional equation in the β-Gaussian Banach space.  

The goal of this work is to study a multi-term boundary value problem (BVP) for fractional differential equations in the variable exponent Lebesgue space (Lp(·)). Both existence, uniqueness, and stability sense Ulam–Hyers are established. Our results obtained using two fixed-point theorems, then illustrating with comprehensive example.

We study the existence and uniqueness of solutions for coupled Langevin differential equations fractional order with multipoint boundary conditions involving generalized Liouville–Caputo derivatives. Furthermore, we discuss Ulam–Hyers stability in context problem at hand. The results are shown examples. Results asymmetric when a derivative (ρ) parameter is changed.

We show that a quaternary Jordan derivation on a quaternary Banach algebra associated with the equation f( x+ y + z 4 ) + f( 3x− y − 4z 4 ) + f( 4x+ 3z 4 ) = 2f(x) . is satisfied in generalized Hyers–Ulam stability.

In this paper, we give a general solution of a refined quadratic functional equation and then investigate its generalized Hyers–Ulam stability in quasi-normed spaces and in non-Archimedean normed spaces. AMS Subject Classification: 39B82, 39B62

In this paper, we obtain the general solution and investigate the generalized Hyers-Ulam stability of the new generalized mixed type additive and quadratic functional equation in fuzzy normed space. Mathematics Subject Classification 39B55, 39B52, 39B82

Abstract This article deals with the existence, uniqueness and Ulam-Hyers--Rassias stability results for a class of coupled systems implicit fractional differential equations Riesz-Caputo derivative boundary conditions. We will employ Banach’s contraction principle as well Schauder’s fixed point theorem to demonstrate our existence results. provide an example illustrate obtained

Abstract This research inscription gets to grips with two novel varieties of boundary value problems. One them is a hybrid Langevin fractional differential equation, whilst the other coupled system equation encapsuling collective derivative known as ψ -Caputo operator. Such operators are generated by iterating local integral function respect another increasing positive Ψ. The existence solution...