Results 71 to 80 of about 2,266,710 (200)
Nonlinear analysis for Hilfer fractional differential equations
Franklin OpenIn this paper, we discuss nonlinear Hilfer fractional differential equations with separated boundary conditions. Using the well-known Leggett–Williams theorem, we first explore the existence of multiple positive solutions for the nonlinear Hilfer ...
Debananda Basua, Swaroop Nandan Bora
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Mittag-leffler-hyers-ulam stability of prabhakar fractional integral equation
, 2021 In this paper, we define and investigate Mittag-Leffler-Hyers-Ulam and Mittag-Leffler-Hyers-Ulam-Rassias stability of Prabhakar fractional integral equation. © 2021, Semnan University, Center of Excellence in Nonlinear Analysis and Applications.
Eghbali, N. +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate a class of nonlinear tempered fractional boundary value problems (BVPs) with a generalized Caputo‐type derivative with respect to a kernel function. The problem includes variable coefficients, a nonlinear term depending on lower‐order derivatives, a tempered fractional integral term, and a nonlocal multipoint integral ...
Jabr Aljedani, Smritijit Sen
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Stability of the Cauchy-Jensen Functional Equation in C∗-Algebras: A Fixed Point Approach
Fixed Point Theory and Applications, 2008 we prove the Hyers-Ulam-Rassias stability of C∗-algebra homomorphisms and of generalized derivations on C∗-algebras for the following Cauchy-Jensen functional equation 2f((x+y)/2+z)=f(x)+f(y)+2f(z), which was introduced and investigated by Baak
Jong Su An, Choonkil Park
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Differential Methods for HU Stability of Backward Shift Operators via Weight Sequences
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a new concept of jth weighted backward shift operators on weighted Hardy spaces Hμ2. We introduce the operator Ωγj and characterize its boundedness in certain sequences associated with the weights. After that, we establish HU stability of the jth weighted backward shift operator Υenj and provide conditions under which stability ...
Zohreh Kefayati +4 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Coffee plants are susceptible to a variety of diseases that threaten the quantity and quality of coffee production. Coffee berry disease (CBD) poses a significant threat to global coffee production, particularly in Africa, and creates a potential risk of expansion into coffee‐growing regions in Latin America and Asia. This study explores a novel hybrid
Muhammad Farhan +5 more
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, 2021 In this paper, we obtain sufficient conditions for Hyers–Ulam and Hyers–Ulam–Rassias stability of an abstract second–order nonlinear dynamic equation on bounded time scales.
Alaa E. Hamza +2 more
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On the Stability of a Cubic Functional Equation in Random Normed Spaces
Journal of Mathematical Extension, 2009 The concept of Hyers-Ulam-Rassias stability has been originated from a stability theorem due to Th. M. Rassias. Recently, the Hyers-Ulam-Rassias stability of the functional equation f(x + 2y) + f(x − 2y) = 2f(x) − f(2x) + 4n f(x + y) + f(x − y) o ,
H. Azadi Kenary
doaj
Journal of Mathematics, Volume 2026, Issue 1, 2026.To address the lack of dedicated tools for analyzing the stability of bivariate functional equations in fuzzy environments, this paper investigates fixed‐point theory and functional equation stability in fuzzy Banach spaces (FBSs). First, building on the Bag–Samanta fuzzy norm, we supplement and prove the “proposition on convergence preservation of ...
Gang Lyu +4 more
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