Notes on the existence and uniqueness of solutions of Stieltjes differential equations
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DOI: 10.1002/mana.201900138
Abstract: We study some classical uniqueness and existence results, such as Peano's or Osgood's uniqueness criteria, in the context of Stieltjes differential equations. This type of equation is based on derivatives with respect to monotone functions,… read more here.
Keywords: existence uniqueness; notes existence; uniqueness solutions; solutions stieltjes ... See more keywords
Existence and uniqueness of solutions to Riesz-Caputo impulsive fractional boundary value problems
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DOI: 10.1080/09720502.2020.1826629
Abstract: Abstract This paper concerns the existence and uniqueness of solutions for a class of impulsive fractional initial/boundary value problems of the Riesz-Caputo differential equation. Numerical examples are given to illustrate the theoretical findings. read more here.
Keywords: existence uniqueness; boundary value; value problems; impulsive fractional ... See more keywords
Existence and uniqueness of solutions for system of Hilfer–Hadamard sequential fractional differential equations with two point boundary conditions
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DOI: 10.1186/s13662-019-2459-8
Abstract: In this paper, we study existence and uniqueness of solutions for a system of Hilfer–Hadamard sequential fractional differential equations via standard fixed point theorems. The existence is proved by using the Leray–Schauder alternative, while the… read more here.
Keywords: existence; existence uniqueness; solutions system; system hilfer ... See more keywords
On uniqueness of solutions to martingale problems — counterexamples and sufficient criteria
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DOI: 10.1214/20-ejp494
Abstract: The dynamics of a Markov process are often specified by its infinitesimal generator or, equivalently, its symbol. This paper contains examples of analytic symbols which do not determine the law of the corresponding Markov process… read more here.
Keywords: uniqueness solutions; solutions martingale; problems counterexamples; sufficient criteria ... See more keywords
Existence and uniqueness of solutions of nonlinear fractional order problems via a fixed point theorem
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DOI: 10.1515/ijnsns-2019-0273
Abstract: Abstract In this paper, we introduce an Caputo fractional high-order problem with a new boundary condition including two orders γ ∈ ( n 1 − 1 , n 1 ] $\gamma \in \left({n}_{1}-1,{n}_{1}\right]$ and η… read more here.
Keywords: order; point theorem; existence uniqueness; uniqueness solutions ... See more keywords
Existence and uniqueness of solutions of an A-harmonic elliptic equation
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DOI: 10.1556/012.2019.56.1.1410
Abstract: This paper deals with the existence and uniqueness of weak solution of a problem which involves a class of A-harmonic elliptic equations of nonhomogeneous type. Under appropriate assumptions on the function f, our main results… read more here.
Keywords: existence uniqueness; harmonic elliptic; elliptic equation; uniqueness solutions ... See more keywords
Uniqueness of solutions to fuzzy relational equations regarding Max - av composition and strong regularity of the matrices in Max - av algebra
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DOI: 10.3934/jimo.2017087
Abstract: The problem of solving a fuzzy relational equation plays an important role in fuzzy systems. In this paper, we investigate the uniqueness of solutions of fuzzy relational equations regarding Max - av composition through the… read more here.
Keywords: relational equations; solutions fuzzy; equations regarding; uniqueness solutions ... See more keywords