Results 91 to 100 of about 8,350 (261)

Note on the solution of random differential equations via ψ-Hilfer fractional derivative

Advances in Difference Equations, 2018
This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative.
S. Harikrishnan, Kamal Shah, Dumitru Baleanu, K. Kanagarajan   +3 more
doaj   +1 more source

Existence and Uniqueness Results for the Coupled Pantograph System With Caputo Fractional Operator and Hadamard Integral

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The main objective of this research involves studying a new novel coupled pantograph system with fractional operators together with nonlocal antiperiodic integral boundary conditions. The system consists of nonlinear pantograph fractional equations which integrate with Caputo fractional operators and Hadamard integrals.
Gunaseelan Mani, Vasu Lakshmanan, Abdul Razak Kachu Mohideen, Homan Emadifar, Patricia J. Y. Wong   +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

Mathematical Model of the Waste Plastic Management via ABC Fractional Order Derivative

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
Plastic waste can be broadly classified as recyclable and nonrecyclable wastes. The United Nations has set 17 goals of which Goal 14 refers to “Life below Water.” If plastic waste is not properly managed, it can pose a health hazard, including reproductive impairment in marine species. Hence, waste plastic management is necessary to achieve the Goal No.
Rajagopalan Ramaswamy, Gunaseelan Mani, Sugapriya Palanisamy, Ozgur Ege, Shikha Binwal   +4 more
wiley   +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

Stability analysis of implicit fractional differential equations with anti-periodic integral boundary value problem

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability, and generalized Ulam-Hyers-Rassias stability of the solution to an ...
Akbar Zada, Hira Waheed
doaj  

Existence and stability of mixed type Hilfer fractional differential equations with impulses and time delay

Results in Applied Mathematics
In this paper, we consider a class of mixed type Hilfer fractional differential equations with noninstantaneous impulses, nonlocal conditions and time delay.
Baoyan Han, Bo Zhu
doaj   +1 more source

Hyers–Ulam Stability and Existence of Solutions for Differential Equations with Caputo–Fabrizio Fractional Derivative

Mathematics, 2019
In this paper, the Hyers–Ulam stability of linear Caputo–Fabrizio fractional differential equation is established using the Laplace transform method. We also derive a generalized Hyers–Ulam stability result via the Gronwall inequality.
Kui Liu, Michal Feckan, D. O’Regan, Jinrong Wang   +3 more
semanticscholar   +1 more source

An Efficient Numerical Method for Nonlinear Time Fractional Hyperbolic Partial Differential Equations Based on Fractional Shehu Transform Iterative Method

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In science and engineering, nonlinear time‐fractional partial differential equations (NTFPDEs) are thought to be a useful tool for describing several natural and physical processes. It is tough to come up with analytical answers for these issues. Finding answers to NTFPDEs is therefore a crucial component of scientific study.
Alemu Senbeta Bekela, Alemayehu Tamirie Deresse, Kannan Krithivasan   +2 more
wiley   +1 more source

The Approximation Property of a One-Dimensional, Time Independent Schrödinger Equation with a Hyperbolic Potential Well

Mathematics, 2020
A type of Hyers–Ulam stability of the one-dimensional, time independent Schrödinger equation was recently investigated; the relevant system had a parabolic potential wall.
Ginkyu Choi, Soon-Mo Jung
doaj   +1 more source