INTEGRAL OPERATOR APPROACH OVER OCTONIONS TO SOLUTION OF NONLINEAR PDE

Far East Journal of Mathematical Sciences (FJMS) ◽

10.17654/ms103050831 ◽

2018 ◽

Vol 103 (5) ◽

pp. 831-876 ◽

Author(s):

E. Frenod ◽

S. V. Ludkowski

Keyword(s):

Integral Operator ◽

Nonlinear Pde ◽

Operator Approach

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Semilinear fractional differential equations based on a new integral operator approach

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2012.03.036 ◽

2012 ◽

Vol 17 (12) ◽

pp. 5143-5150 ◽

Author(s):

Xiao-Li Ding ◽

Yao-Lin Jiang

Keyword(s):

Integral Operator ◽

Differential Equations ◽

Fractional Differential Equations ◽

Operator Approach ◽

Fractional Differential

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Periodic bifurcation problems for fully nonlinear neutral functional differential equations via an integral operator approach: the multidimensional degeneration case

Topological Methods in Nonlinear Analysis ◽

10.12775/tmna.2015.062 ◽

2015 ◽

pp. 1

Author(s):

Jean-Francois Couchouron ◽

Mikhail I. Kamenskii ◽

Boris Mikhaylenko ◽

Paolo Nistri

Keyword(s):

Integral Operator ◽

Differential Equations ◽

Functional Differential Equations ◽

Operator Approach ◽

Neutral Functional Differential Equations ◽

Fully Nonlinear ◽

Bifurcation Problems ◽

Functional Differential ◽

Periodic Bifurcation

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Integral Operator Approach to Learning Theory with Unbounded Sampling

Complex Analysis and Operator Theory ◽

10.1007/s11785-011-0139-0 ◽

2011 ◽

Vol 6 (3) ◽

pp. 533-548 ◽

Author(s):

Shao-Gao Lv ◽

Yun-Long Feng

Keyword(s):

Integral Operator ◽

Learning Theory ◽

Operator Approach ◽

Approach To Learning

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An Integral Operator Approach to Cauchy’s Problem for $ \Delta _{p + 2} u({\bf x}) + F({\bf x})u({\bf x}) = 0$

SIAM Journal on Mathematical Analysis ◽

10.1137/0502011 ◽

1971 ◽

Vol 2 (1) ◽

pp. 113-132 ◽

Author(s):

David Colton ◽

Robert P. Gilbert

Keyword(s):

Integral Operator ◽

Operator Approach

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Geometric Asymptotics for Nonlinear PDE. I. By V. P. MASLOV & G. A. OMEL’YANOV. Translations of Mathematical Monographs, Vol. 202, American Mathematical Society, 2001. 285 pp. ISBN 0-8218-2109-1.

Journal of Fluid Mechanics ◽

10.1017/s0022112002228979 ◽

2002 ◽

Vol 461 ◽

pp. 408-410

Keyword(s):

American Mathematical Society ◽

Nonlinear Pde ◽

Mathematical Society

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Operator approach for orthogonality in linear spaces

Tbilisi Mathematical Journal ◽

10.32513/tbilisi/1546570889 ◽

2018 ◽

Vol 11 (4) ◽

pp. 103-112

Author(s):

Mahdi Iranmanesh ◽

Maryam Saeedi Khojasteh

Keyword(s):

Operator Approach ◽

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Spatial Operator Approach to Under-Actuated Manipulator Kinematics and Dynamics

1991 American Control Conference ◽

10.23919/acc.1991.4791756 ◽

1991 ◽

Author(s):

A. Jan ◽

G. Rodriguez

Keyword(s):

Kinematics And Dynamics ◽

Operator Approach ◽

Spatial Operator

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Explicit Solutions for a Class of Nonlinear PDE that Arise in Allocation Problems

10.21236/ada458951 ◽

2006 ◽

Author(s):

Paul Dupuis ◽

Jim X. Zhang

Keyword(s):

Nonlinear Pde ◽

Explicit Solutions ◽

Allocation Problems

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Functional Ross Recovery: An Operator Approach

SSRN Electronic Journal ◽

10.2139/ssrn.2991984 ◽

2017 ◽

Author(s):

Yannick Dillschneider ◽

Raimond Maurer

Keyword(s):

Operator Approach

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A note on fractional integral operator associated with multiindex Mittag-Leffler functions

Filomat ◽

10.2298/fil1607931c ◽

2016 ◽

Vol 30 (7) ◽

pp. 1931-1939 ◽

Author(s):

Junesang Choi ◽

Praveen Agarwal

Keyword(s):

Integral Operator ◽

Fractional Calculus ◽

Fractional Integral ◽

Fractional Integration ◽

Fractional Integral Operator ◽

Integration Formula ◽

Recently Kiryakova and several other ones have investigated so-called multiindex Mittag-Leffler functions associated with fractional calculus. Here, in this paper, we aim at establishing a new fractional integration formula (of pathway type) involving the generalized multiindex Mittag-Leffler function E?,k[(?j,?j)m;z]. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

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