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The extended-[Formula: see text]-expansion method and new exact solutions for the conformable space-time fractional diffusive predator-prey system. [PDF]
Wu J, Li Z, Tian H, Yang Z.
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A local meshless method for the numerical solution of multi-term time-fractional generalized Oldroyd-B fluid model. [PDF]
Aljawi S, Kamran, Aloqaily A, Mlaiki N.
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Hyers–Ulam and Hyers–Ulam–Rassias Stability of Volterra Integral Equations with Delay
2009Considerable attention has been given to the study of the Hyers–Ulam and Hyers–Ulam–Rassias stability of functional equations (see, e.g., [HIR98, Ju01]). The concept of stability for a functional equation arises when we replace the functional equation by an inequality which acts as a perturbation of the equation.
Alexandre Floriani Ramos, Luis P. Castro
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Subadditive Multifunctions and Hyers-Ulam Stability
1987A multifunction F from an Abelian semigroup (S,+) into the family of all nonempty closed convex subsets of a Banach space (X, ║·║) is called subadditive provided that F(x+y) ⊂ F(x) + F(y) for all x, y ∈ S. We show that if all the values of a subadditive multifunction F are uniformly bounded then F admits an additive selection, i.e. a homomorphism a: S →
Zbigniew Gajda, Roman Ger
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Hyers-Ulam Stability of HosszÚ’s Equation
2000We give a sharpening and a correction of a result of L. Losonsczi concerning the Hyers-Ulam stability of the Hosszu’s functional equation $$f(xy) = f(x) + f(y) - f(x + y - xy)$$ where f is a function of a real variable with values in a Banach space.
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Hyers—Ulam stability of isometries on Banach spaces
Aequationes Mathematicae, 1999This note is a brief survey of the stability problem for isometries defined on real Banach spaces with the special emphasis on some recent results. At the end two open problems are presented.
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On the Hyers-Ulam-Rassias Stability of Mappings
1998We give an answer to a question of Hyers and Rassias [5] concerning the stability of mappings.
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