using fixed pointmethods, we investigate approximately higher ternary jordan derivations in banach ternaty algebras via the cauchy functional equation$$f(lambda_{1}x+lambda_{2}y+lambda_3z)=lambda_1f(x)+lambda_2f(y)+lambda_3f(z)~.$$

Theories in the behavioral, social, and natural sciences are often formalized by equations involving unknown functions, i.e., by functional equations. For instance, a theorist may be reluctant tomake specific assumptions regarding the form of functions involved in a mathematical model, but the qualitative formulation of the model itself may impose constraints on the initially unknown functions....

In the paper the question is a q-Fourier transform of a q-Gaussian a q ′ -Gaussian (with some q ′ ) up to a constant factor is analyzed for the whole range of q ∈ (−∞, 3). This question is connected with applicability of Fq-transform in the study of limit processes in nonextensive statistical mechanics. We derive some functional-differential equations for the q-Fourier transform of q-Gaussians....

the purpose of this paper is to study the fuzzy fractional differentialequations. we prove that fuzzy fractional differential equation isequivalent to the fuzzy integral equation and then using this equivalenceexistence and uniqueness result is establish. fuzzy derivative is considerin the goetschel-voxman sense and fractional derivative is consider in theriemann liouville sense. at the end, we...