Results 1 to 10 of about 35,364 (303)
Implicit Fractional Differential Equations via the Liouville–Caputo Derivative [PDF]
Mathematics, 2015 We study an initial value problem for an implicit fractional differential equation with the Liouville–Caputo fractional derivative. By using fixed point theory and an approximation method, we obtain some existence and uniqueness results.
Juan J. Nieto +2 more
doaj +5 more sources
Nonlocal Initial Value Problem for Hybrid Generalized Hilfer-type Fractional Implicit Differential Equations [PDF]
Nonautonomous Dynamical Systems, 2021 In this paper, we prove some existence results of solutions for a class of nonlocal initial value problem for nonlinear fractional hybrid implicit differential equations under generalized Hilfer fractional derivative. The result is based on a fixed point
Salim Abdelkrim +4 more
doaj +3 more sources
Topological Algebra and its Applications, 2022 In this paper, we establish the existence of solutions for a class of nonlinear implicit neutral fractional differential equations with terminal condition and Hilfer-Katugampola fractional derivative.
Bouriah Soufyane +2 more
doaj +3 more sources
Implicit nonlinear fractional differential equations of variable order [PDF]
Boundary Value Problems, 2021 In this manuscript, we examine both the existence and the stability of solutions to the implicit boundary value problem of Caputo fractional differential equations of variable order.
Amar Benkerrouche +3 more
doaj +3 more sources
Stability analysis for a class of implicit fractional differential equations involving Atangana-Baleanu fractional derivative. [PDF]
Adv Differ Equ, 2021 AbstractSome 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. The required results are established by utilizing the Banach contraction mapping principle and fixed point theorem of ...
Asma, Shabbir S, Shah K, Abdeljawad T.
europepmc +6 more sources
On stability for nonlinear implicit fractional differential equations
Le Matematiche, 2015 The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order ...
Mouffak Benchohra, Jamal E. Lazreg
doaj +2 more sources
Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative [PDF]
Demonstratio Mathematica, 2019 In this paper, we establish the existence and uniqueness of solutions for a class of initial value problem for nonlinear implicit fractional differential equations with Riemann-Liouville fractional derivative, also, the stability of this class of problem.
Benchohra Mouffak +2 more
doaj +2 more sources
Some existence results on implicit fractional differential equations
Filomat, 2021 In this paper, we study the existence of a solution for the nonlinear implicit fractional differential equation of the type D?u(t) = f (t, u(t),D?u(t)), with Riemann-Liouville fractional derivative via the different boundary conditions u(0) = u(T), and the three point boundary conditions u(0) = ?1u(?) and u(T) = ?2u(?), where T > 0, t ...
V. V. Kharat +2 more
openalex +3 more sources
Implicit Caputo-Fabrizio fractional differential equations with delay [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2023 "This article deals with some existence and uniqueness results for several classes of implicit fractional differential equations with delay. Our results are based on some fixed-point theorems. To illustrate our results, we present some examples in the last section. Keywords: Caputo-Fabrizio fractional order derivative, implicit, delay, fixed point."
Salim Krim +3 more
openalex +3 more sources
Existence results for nonlinear implicit fractional differential equations [PDF]
Surveys in Mathematics and its Applications, 2014 In this paper, we establish the existence and uniqueness of solution for a class of initial value problem for implicit fractional differential equations with Caputo fractional derivative.
Mouffak Benchohra , Jamal Eddine Lazreg
doaj +2 more sources