Results 21 to 30 of about 2,495 (216)
Advances in Difference Equations, 2021 Some fundamental conditions and hypotheses are established to ensure the existence, uniqueness, and stability to a class of implicit boundary value problems (BVPs) with Atangana–Baleanu–Caputo type derivative and integral.
Asma +3 more
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AIMS Mathematics, 2021 In this paper, we discuss the existence, uniqueness and stability of boundary value problems for $\psi$-Hilfer fractional integro-differential equations with mixed nonlocal (multi-point, fractional derivative multi-order and fractional integral ...
Weerawat Sudsutad +2 more
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Generalized Hyers-Ulam stability of Riccati differential equation [PDF]
Mathematical Inequalities & Applications, 2008 In this paper, we will prove the generalized Hyers-Ulam stability of the Riccati differential equation of the form y′(t)+ g(t)y(t)+ h(t)y(t)2 = k(t) under some additional conditions. Some concrete examples will be introduced. Mathematics subject classification (2000): 26D10, 34A40, 39B82.
Soon-Mo Jung, Themistocles M. Rassias
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Hyers-Ulam-Rassias Stability of a General Septic Functional Equation
Journal of Advances in Mathematics and Computer Science, 2022 In this paper, we investigate the stability of the following general septic functional equation: \(\sum_{i=0}^8{ }_8 C_i(-1)^{8-i} f(x+(i-4) y)=0\)which is a generalization of many functional equations such as the additive functional equation, the quadratic functional equation, the cubic ...
Jin, Sun-Sook, Lee, Yang-Hi
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Axioms, 2022 A boundary-value problem for a couple of scalar nonlinear differential equations with a delay and several generalized proportional Caputo fractional derivatives is studied. Ulam-type stability of the given problem is investigated.
Ravi P. Agarwal, Snezhana Hristova
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Fixed Points and Generalized Hyers‐Ulam Stability
Abstract and Applied Analysis, 2012 In this paper we prove a fixed‐point theorem for a class of operators with suitable properties, in very general conditions. Also, we show that some recent fixed‐points results in Brzdęk et al., (2011) and Brzdęk and Ciepliński (2011) can be obtained directly from our theorem. Moreover, an affirmative answer to the open problem of Brzdęk and Ciepliński
Cădariu, L. +2 more
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Hyers-Ulam Stability of Generalized Tribonacci Functional Equation [PDF]
Turkish Journal of Analysis and Number Theory, 2017 In this paper we study Hyers-Ulam stability of the generalized Tribonacci functional equation, where a, b and c are non- zero constants. The functional equation is solved and its stability is established in the class of functions where X is a Banach space.
S. Arolkar, Y.S. Valaulikar
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Advances in Difference Equations, 2019 In this article, we investigate the existence and uniqueness of solutions for conformable derivatives in the Caputo setting with four-point integral conditions, applying standard fixed point theorems such as Banach contraction mapping principle ...
Aphirak Aphithana +2 more
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Advances in Difference Equations, 2020 Solutions to fractional differential equations is an emerging part of current research, since such equations appear in different applied fields. A study of existence, uniqueness, and stability of solutions to a coupled system of fractional differential ...
Danfeng Luo +3 more
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Complexity, 2021 In this article, we make analysis of the implicit fractional differential equations involving integral boundary conditions associated with Stieltjes integral and its corresponding coupled system. We use some sufficient conditions to achieve the existence
Danfeng Luo +4 more
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