A coupled system of nonlinear Caputo–Hadamard Langevin equations associated with nonperiodic boundary conditions
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6711
Abstract: In this paper, we study the coupled system of nonlinear Langevin equations involving Caputo–Hadamard fractional derivative and subject to nonperiodic boundary conditions. The existence, uniqueness, and stability in the sense of Ulam are established for… read more here.
Keywords: system; system nonlinear; coupled system; langevin equations ... See more keywords
Caputo-Hadamard fractional differential equations on time scales: Numerical scheme, asymptotic stability, and chaos.
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DOI: 10.1063/5.0098375
Abstract: This study investigates Caputo-Hadamard fractional differential equations on time scales. The Hadamard fractional sum and difference are defined for the first time. A general logarithm function on time scales is used as a kernel function.… read more here.
Keywords: time; hadamard fractional; caputo hadamard; time scales ... See more keywords
On Caputo–Hadamard fractional differential equations
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DOI: 10.1080/00207160.2019.1626012
Abstract: ABSTRACT In this paper, the existence and uniqueness of solution to Caputo–Hadamard fractional differential equation (FDE) are studied. The continuation theorem is established too. Then, Euler and predictor–corrector methods are built up to solve Caputo–Hadamard… read more here.
Keywords: hadamard fractional; caputo hadamard; fractional differential; differential equations ... See more keywords
A wavelet method for solving Caputo–Hadamard fractional differential equation
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DOI: 10.1108/ec-03-2021-0165
Abstract: PurposeThe purpose of the present work is to propose a wavelet method for the numerical solutions of Caputo–Hadamard fractional differential equations on any arbitrary interval.Design/methodology/approachThe author has modified the CAS wavelets (mCAS) and utilized it… read more here.
Keywords: hadamard fractional; method; fractional differential; author ... See more keywords
The General Solution of Differential Equations with Caputo-Hadamard Fractional Derivatives and Noninstantaneous Impulses
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DOI: 10.1155/2017/3094173
Abstract: Based on some recent works about the general solution of fractional differential equations with instantaneous impulses, a Caputo-Hadamard fractional differential equation with noninstantaneous impulses is studied in this paper. An equivalent integral equation with some… read more here.
Keywords: hadamard fractional; general solution; differential equations; caputo hadamard ... See more keywords
On a fractional Caputo–Hadamard problem with boundary value conditions via different orders of the Hadamard fractional operators
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DOI: 10.1186/s13662-020-02741-7
Abstract: We investigate the existence of solutions for a Caputo–Hadamard fractional integro-differential equation with boundary value conditions involving the Hadamard fractional operators via different orders. By using the Krasnoselskii’s fixed point theorem, the Leray–Schauder nonlinear alternative,… read more here.
Keywords: hadamard fractional; via different; fractional operators; boundary value ... See more keywords
On a hybrid fractional Caputo–Hadamard boundary value problem with hybrid Hadamard integral boundary value conditions
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DOI: 10.1186/s13662-020-02914-4
Abstract: In the present research article, we find some important criteria on the existence of solutions for a class of the hybrid fractional Caputo–Hadamard differential equations and its corresponding inclusion problem supplemented with hybrid Hadamard integral… read more here.
Keywords: value; hybrid fractional; fractional caputo; boundary value ... See more keywords
Multiterm Impulsive Caputo-Hadamard Type Differential Equations of Fractional Variable Order
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DOI: 10.3390/axioms11110634
Abstract: In this study, we deal with an impulsive boundary value problem (BVP) for differential equations of variable fractional order involving the Caputo–Hadamard fractional derivative. The fundamental problems of existence and uniqueness of solutions are studied,… read more here.
Keywords: hadamard type; impulsive caputo; caputo hadamard; multiterm impulsive ... See more keywords
Existence of Monotone Positive Solutions for Caputo-Hadamard Nonlinear Fractional Differential Equation with Infinite-Point Boundary Value Conditions
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DOI: 10.3390/sym15050970
Abstract: Numerical solutions and approximate solutions of fractional differential equations have been studied by mathematicians recently and approximate solutions and exact solutions of fractional differential equations are obtained in many kinds of ways, such as Lie… read more here.
Keywords: differential equation; caputo hadamard; infinite point; fractional differential ... See more keywords