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2019 Volume 4, Issue 3

Research article
Generalized k-fractional conformable integrals and related inequalities
Feng Qi,  Siddra Habib,  Shahid Mubeen,  Muhammad Nawaz Naeem
2019, Volume 4, Issue 3: 343-358. doi: 10.3934/math.2019.3.343
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Research article
Relative entropy minimization over Hilbert spaces via Robbins-Monro
Gideon Simpson,  Daniel Watkins
2019, Volume 4, Issue 3: 359-383. doi: 10.3934/math.2019.3.359
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Research article
Non-null slant ruled surfaces
Mehmet Önder
2019, Volume 4, Issue 3: 384-396. doi: 10.3934/math.2019.3.384
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Research article
Multiple closed form solutions to some fractional order nonlinear evolution equations in physics and plasma physics
M. Ali Akbar,  Norhashidah Hj. Mohd. Ali,  M. Tarikul Islam
2019, Volume 4, Issue 3: 397-411. doi: 10.3934/math.2019.3.397
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Research article
On the denseness of certain reciprocal power sums
Xiao Jiang,  Shaofang Hong
2019, Volume 4, Issue 3: 412-419. doi: 10.3934/math.2019.3.412
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Research article
Establishing cryptocurrency equilibria through game theory
Carey Caginalp,  Gunduz Caginalp
2019, Volume 4, Issue 3: 420-436. doi: 10.3934/math.2019.3.420
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Research article
Discontinuous solutions for the short-pulse master mode-locking equation
Giuseppe Maria Coclite,  Lorenzo di Ruvo
2019, Volume 4, Issue 3: 437-462. doi: 10.3934/math.2019.3.437
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Research article
Wave equations & energy
William O. Bray,  Ellen Hunter
2019, Volume 4, Issue 3: 463-481. doi: 10.3934/math.2019.3.463
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Research article
Progressive contractions, product contractions, quadratic integro-differential equations
Theodore A. Burton,  Ioannis K. Purnaras
2019, Volume 4, Issue 3: 482-496. doi: 10.3934/math.2019.3.482
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Research article
Hamilton’s gradient estimate for fast diffusion equations under geometric flow
Ghodratallah Fasihi-Ramandi
2019, Volume 4, Issue 3: 497-505. doi: 10.3934/math.2019.3.497
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Research article
On a generalized Lyapunov inequality for a mixed fractional boundary value problem
Rabah Khaldi,  Assia Guezane-Lakoud
2019, Volume 4, Issue 3: 506-515. doi: 10.3934/math.2019.3.506
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Research article
Identification of the source term in Navier-Stokes system with incomplete data
Berhail Amel,  Rezzoug Imad
2019, Volume 4, Issue 3: 516-526. doi: 10.3934/math.2019.3.516
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Research article
$\mathcal{A}$-valued norm parallelism in Hilbert $\mathcal{A}$-modules
Ali Khalili,  Maryam Amyari
2019, Volume 4, Issue 3: 527-533. doi: 10.3934/math.2019.3.527
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Research article
The point vortex model for the Euler equation
Carina Geldhauser,  Marco Romito
2019, Volume 4, Issue 3: 534-575. doi: 10.3934/math.2019.3.534
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Research article
Anisotropic variation formulas for imaging applications
Thomas Asaki,  Heather A. Moon
2019, Volume 4, Issue 3: 576-592. doi: 10.3934/math.2019.3.576
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Research article
Theory of discrete fractional Sturm–Liouville equations and visual results
Erdal Bas,  Ramazan Ozarslan
2019, Volume 4, Issue 3: 593-612. doi: 10.3934/math.2019.3.593
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Research article
Representation of solution of initial value problem for fuzzy linear multi-term fractional differential equation with continuous variable coefficient
Huichol Choi,  Kinam Sin,  Sunae Pak,  Kyongjin Sok,  Sungryol So
2019, Volume 4, Issue 3: 613-625. doi: 10.3934/math.2019.3.613
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Research article
Nonlinear Langevin equations and inclusions involving mixed fractional order derivatives and variable coefficient with fractional nonlocal-terminal conditions
Bashir Ahmad,  Ahmed Alsaedi,  Sotiris K. Ntouyas
2019, Volume 4, Issue 3: 626-647. doi: 10.3934/math.2019.3.626
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Research article
Modeling of the continuous casting process of steel via phase-field transition system. Fractional steps method
Costică Moroşanu
2019, Volume 4, Issue 3: 648-662. doi: 10.3934/math.2019.3.648
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Research article
Solvability and optimal controls of non-instantaneous impulsive stochastic neutral integro-differential equation driven by fractional Brownian motion
Rajesh Dhayal,  Muslim Malik,  Syed Abbas
2019, Volume 4, Issue 3: 663-683. doi: 10.3934/math.2019.3.663
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Correction
Correction: A note on derivations and Jordan ideals in prime rings
Gurninder S. Sandhu,  Deepak Kumar
2019, Volume 4, Issue 3: 684-685. doi: 10.3934/math.2019.3.684
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Research article
Depth and Stanley depth of edge ideals associated to some line graphs
Zahid Iqbal,  Muhammad Ishaq
2019, Volume 4, Issue 3: 686-698. doi: 10.3934/math.2019.3.686
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Research article
One dynamical input reconstruction problem: tuning of solving algorithm via numerical experiments
Lidiya Melnikova,  Valeriy Rozenberg
2019, Volume 4, Issue 3: 699-713. doi: 10.3934/math.2019.3.699
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Research article
Proof of the completeness of the system of eigenfunctions for one boundary-value problem for the fractional differential equation
Mukhamed Aleroev,  Hedi Aleroeva,  Temirkhan Aleroev
2019, Volume 4, Issue 3: 714-720. doi: 10.3934/math.2019.3.714
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Research article
Approximate solutions to nonlinear fractional order partial differential equations arising in ion-acoustic waves
Samia Bushnaq,  Sajjad Ali,  Kamal Shah,  Muhammad Arif
2019, Volume 4, Issue 3: 721-739. doi: 10.3934/math.2019.3.721
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Research article
On (complete) normality of m-pF subalgebras in BCK/BCI-algebras
Anas Al-Masarwah,  Abd Ghafur Ahmad
2019, Volume 4, Issue 3: 740-750. doi: 10.3934/math.2019.3.740
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Research article
A generalized mathematical model for a class of mechanical systems with lumped and distributed parameters
Arsalan D. Mizhidon
2019, Volume 4, Issue 3: 751-762. doi: 10.3934/math.2019.3.751
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Research article
A multiple objective programming approach to linear bilevel multi-follower programming
Habibe Sadeghi,  Fatemeh Moslemi
2019, Volume 4, Issue 3: 763-778. doi: 10.3934/math.2019.3.763
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Research article
The new class $L_{z,p,E}$ of $s-$ type operators
Pınar Zengin Alp,  Emrah Evren Kara
2019, Volume 4, Issue 3: 779-791. doi: 10.3934/math.2019.3.779
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Research article
Existence of positive weak solutions for a nonlocal singular elliptic system
Tomas Godoy
2019, Volume 4, Issue 3: 792-804. doi: 10.3934/math.2019.3.792
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Research article
The price adjustment equation with different types of conformable derivatives in market equilibrium
Erdal Bas,  Bahar Acay,  Ramazan Ozarslan
2019, Volume 4, Issue 3: 805-820. doi: 10.3934/math.2019.3.805
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Research article
Monotonic solutions for a quadratic integral equation of fractional order
A. M. A. El-Sayed,  Sh. M. Al-Issa
2019, Volume 4, Issue 3: 821-830. doi: 10.3934/math.2019.3.821
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Research article
Mathematical study of a nonlinear neuron model with active dendrites
Francesco Cavarretta,  Giovanni Naldi
2019, Volume 4, Issue 3: 831-846. doi: 10.3934/math.2019.3.831
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Research article
Solvability of a fractional Cauchy problem based on modified fixed point results of non-compactness measures
Hemant Kumar Nashine,  Rabha W. Ibrahim
2019, Volume 4, Issue 3: 847-859. doi: 10.3934/math.2019.3.847
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Review
Big data security challenges and strategies
Sitalakshmi Venkatraman,  Ramanathan Venkatraman
2019, Volume 4, Issue 3: 860-879. doi: 10.3934/math.2019.3.860
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Research article
Existence of positive solution to the boundary value problems for coupled system of nonlinear fractional differential equations
Md. Asaduzzaman,  Md. Zulfikar Ali
2019, Volume 4, Issue 3: 880-895. doi: 10.3934/math.2019.3.880
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Research article
The generalized Kudryashov method for new closed form traveling wave solutions to some NLEEs
M. A. Habib,  H. M. Shahadat Ali,  M. Mamun Miah,  M. Ali Akbar
2019, Volume 4, Issue 3: 896-909. doi: 10.3934/math.2019.3.896
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Research article
The zero-energy limit and quasi-neutral limit of scaled Euler-Maxwell system and its corresponding limiting models
Tariq Mahmood
2019, Volume 4, Issue 3: 910-927. doi: 10.3934/math.2019.3.910
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Research article
Time-varying delays in electrophysiological wave propagation along cardiac tissue and minimax control problems associated with uncertain bidomain type models
Aziz Belmiloudi
2019, Volume 4, Issue 3: 928-983. doi: 10.3934/math.2019.3.928
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Research article
New generalized integral inequalities with applications
Artion Kashuri,  Rozana Liko,  Silvestru Sever Dragomir
2019, Volume 4, Issue 3: 984-996. doi: 10.3934/math.2019.3.984
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Research article
Application of the fixed point theorems on the existence of solutions for q-fractional boundary value problems
Sina Etemad,  Sotiris K. Ntouyas
2019, Volume 4, Issue 3: 997-1018. doi: 10.3934/math.2019.3.997
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Research article
Applications and theorem on common fixed point in complex valued b-metric space
Khaled Berrah,  Abdelkrim Aliouche,  Taki eddine Oussaeif
2019, Volume 4, Issue 3: 1019-1033. doi: 10.3934/math.2019.3.1019
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