Results 71 to 80 of about 1,858 (164)

A New Approach to the Study of the Existence and Uniqueness of Mild Solutions for an Evolving System by Using Fractional Derivatives in the Deformable Sense

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this work, we study the existence and uniqueness of mild solutions for linear and semilinear control systems using the new deformable fractional derivative. The results have been obtained and presented using the deformable Laplace transform and its inverse, as well as the theory of semigroups and a rigorous application of Banach’s fixed‐point ...
Boulkhairy Sy, Abass Sow, Cheikh Seck, Birendra Nath Mandal   +3 more
wiley   +1 more source

Hyers–Ulam Stability of a System of Hyperbolic Partial Differential Equations

Mathematics, 2022
In this paper, we study Hyers–Ulam and generalized Hyers–Ulam–Rassias stability of a system of hyperbolic partial differential equations using Gronwall’s lemma and Perov’s theorem.
Daniela Marian, Sorina Anamaria Ciplea, Nicolaie Lungu   +2 more
doaj   +1 more source

Fractal–Fractional Operators Applied to Water Pollution Model: Well Posedness, Stability, and Simulation

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
Water contamination is a crucial area of study that has drawn significant attention from researchers and environmentalists due to its profound impact on humans, animals, and plants. It is equally harmful as air and soil contamination and is closely linked to both.
Pasquini Fotsing Soh, Mathew Kinyanjui, David Malonza, Roy Kiogora, Arpan Hazra   +4 more
wiley   +1 more source

Nonlinear analysis for Hilfer fractional differential equations

Franklin Open
In 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
doaj   +1 more source

The Life and Work of D.H. Hyers, 1913-1997 [PDF]

, 2006
The following is a sketch of the life and work of Donald Holmes Hyers, Professor Emeritus from the University of Southern California. The theorem put forth by Hyers in 1941 concerning linear functional equations has gained a great deal of interest over ...
Singleton, Brent D.
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Analytical Study of Variable‐Order Fractional Differential Equations With Initial and Terminal Antiperiodic Boundary Conditions

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This study investigates the existence, uniqueness, and stability of solutions to Riemann–Liouville fractional differential equations with fractional variable‐order and antiperiodic boundary conditions. By employing the Banach fixed point theorem, we establish conditions for the uniqueness of solutions, while Schauder’s fixed point theorem is used to ...
Mohammed Said Souid, Zoubida Bouazza, M’hamed Bensaid, K. Sudar Mozhi, Mokhtari Mokhtar, Joshua Kiddy K. Asamoah, Mohammad Rezwan Habib   +6 more
wiley   +1 more source

Stability of the Volterra Integrodifferential Equation [PDF]

, 2013
In this paper, the Hyers-Ulam stability of the Volterra integrodifferential equation and the Volterra equation on the finite interval [0, T], T > 0, are studied, where the state x(t) take values in a Banach space ...
Janfada, Mohammad, Sadeghi, Gh.
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Estimation of Inexact Multimixed Additive‐Quadratic Mappings in Fuzzy Normed Spaces

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In the current study, we introduce a new model of multimixed additive‐quadratic mapping and then show that the system of several mixed additive‐quadratic equations defining a multimixed additive‐quadratic mapping can be unified and presented as a single equation. We also show that such mappings under some conditions are multi‐additive, multi‐quadratic,
Abasalt Bodaghi, Pramita Mishra
wiley   +1 more source

Existence and Stability of Ulam–Hyers and Generalized Ulam–Hyers for the Generalized Langevin–Sturm–Liouville Equation Involving Generalized Liouville–Caputo Type

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper focuses on investigating the existence, uniqueness, and stability of Ulam–Hyers (U‐H) and generalized Ulam–Hyers (G‐U‐H) solutions for the generalized Langevin–Sturm–Liouville equation, which involves generalized Liouville–Caputo derivatives and antiperiodic boundary conditions. We can divide this manuscript into six parts. The first section
Muthaiah Subramanian, Bundit Unyong, Muath Awadalla, Watcharaporn Cholamjiak   +3 more
wiley   +1 more source

Fixed points and fuzzy stability of an additive-quadratic functional equation [PDF]

, 2013
Ministry of Education, Science and TechnologyThe fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated by Moslehian et al.
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