β−type fractional Sturm‐Liouville Coulomb operator and applied results
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5769
Abstract: In this article, β‐type fractional Sturm‐Liouville Coulomb operator is considered by Hilfer fractional derivative. Fundamental spectral theory is investigated for the aforementioned problem. In this context, it is shown that the operator is self‐adjoint, eigenfunctions… read more here.
Keywords: fractional sturm; sturm liouville; liouville coulomb; operator ... See more keywords
Optimal Control of Clarke Subdifferential Type Fractional Differential Inclusion with Non-instantaneous Impulses Driven by Poisson Jumps and Its Topological Properties
Sign Up to like & getrecommendations! Published in 2021 at "Bulletin of The Iranian Mathematical Society"
DOI: 10.1007/s41980-020-00492-5
Abstract: This article is devoted to studying the topological structure of a solution set for Clarke subdifferential type fractional non-instantaneous impulsive differential inclusion driven by Poisson jumps. Initially, for proving the solvability result, we use a… read more here.
Keywords: subdifferential type; differential inclusion; clarke subdifferential; non instantaneous ... See more keywords
8-Weighted-type fractional Fourier transform based three-branch transmission method
Sign Up to like & getrecommendations! Published in 2018 at "China Communications"
DOI: 10.1109/cc.2018.8456459
Abstract: To improve the bit error rate (BER) performance of multiple input multiple output (MIMO) systems with low complexity, a three-branch transmission scheme employing 8-weighted-type fractional Fourier transform (8-WFRFT) module is proposed. In the proposed scheme,… read more here.
Keywords: three branch; weighted type; transmission; scheme ... See more keywords
On Finite Part Integrals and Hadamard-Type Fractional Derivatives
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Computational and Nonlinear Dynamics"
DOI: 10.1115/1.4037930
Abstract: This paper is devoted to investigating the relation between Hadamard-type fractional derivatives and finite part integrals in Hadamard sense; that is to say, the Hadamard-type fractional derivative of a given function can be expressed by… read more here.
Keywords: part integrals; hadamard type; fractional derivatives; finite part ... See more keywords
Ulam–Hyers Stability of Caputo-Type Fractional Stochastic Differential Equations with Time Delays
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DOI: 10.1155/2021/5599206
Abstract: In this paper, we study a class of Caputo-type fractional stochastic differential equations (FSDEs) with time delays. Under some new criteria, we get the existence and uniqueness of solutions to FSDEs by Carathe � odory… read more here.
Keywords: caputo type; stochastic differential; fractional stochastic; differential equations ... See more keywords
Characterizations of compact operators on ℓp−type fractional sets of sequences
Sign Up to like & getrecommendations! Published in 2019 at "Demonstratio Mathematica"
DOI: 10.1515/dema-2019-0015
Abstract: Abstract Among the sets of sequences studied, difference sets of sequences are probably the most common type of sets. This paper considers some ℓp−type fractional difference sets via the gamma function. Although, we characterize compactness… read more here.
Keywords: compact operators; fractional sets; characterizations compact; sets sequences ... See more keywords
Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy
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DOI: 10.3390/e24121852
Abstract: Interpretations of Hadamard-type fractional integral and differential operators are proposed. The Hadamard-type fractional integrals of function with respect to another function are interpreted as an generalization of standard entropy, fractional entropies and cumulative entropies. A… read more here.
Keywords: fractional cumulative; hadamard type; fractional operators; entropy ... See more keywords