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Pourhadi, Ehsan, Researcher
Publications (6 of 6) Show all publications
Pourhadi, E., Saadati, R. & Ntouyas, S. K. (2019). Application of Fixed-Point Theory for a Nonlinear Fractional Three-Point Boundary-Value Problem. Mathematics, 7(6), 1-11, Article ID 526.
Open this publication in new window or tab >>Application of Fixed-Point Theory for a Nonlinear Fractional Three-Point Boundary-Value Problem
2019 (English)In: Mathematics, E-ISSN 2227-7390, Vol. 7, no 6, p. 1-11, article id 526Article in journal (Refereed) Published
Abstract [en]

Throughout this paper, via the Schauder fixed-point theorem, a generalization of Krasnoselskii’s fixed-point theorem in a cone, as well as some inequalities relevant to Green’s function, we study the existence of positive solutions of a nonlinear, fractional three-point boundary-value problem with a term of the first order derivative [...]

Place, publisher, year, edition, pages
Basel, Switzerland: MDPI, 2019
Keywords
three-point boundary-value problem; Caputo’s fractional derivative; Riemann-Liouville fractional integral; fixed-point theorems
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
urn:nbn:se:lnu:diva-84906 (URN)10.3390/math7060526 (DOI)000475299100042 ()2-s2.0-85069922317 (Scopus ID)
Available from: 2019-06-11 Created: 2019-06-11 Last updated: 2019-08-29Bibliographically approved
Saadati, R., Pourhadi, E. & Samet, B. (2019). On the PC-mild solutions of abstract fractional evolution equations with non-instantaneous impulses via the measure of noncompactness. Boundary Value Problems, 1-23, Article ID 19.
Open this publication in new window or tab >>On the PC-mild solutions of abstract fractional evolution equations with non-instantaneous impulses via the measure of noncompactness
2019 (English)In: Boundary Value Problems, ISSN 1687-2762, E-ISSN 1687-2770, p. 1-23, article id 19Article in journal (Refereed) Published
Abstract [en]

In this paper, we deal with the existence results for mild solutions of abstract fractional evolution equations with non-instantaneous impulses on an unbounded interval. We also establish the existence of S-asymptotically -periodic mild solutions. The applied techniques are supported by the concept of measure of noncompactness in conjunction with the well-known Darbo-Sadovskii and Tichonov fixed-point theorems. Furthermore, an example to the fractional initial/boundary value Cauchy problem is concerned to illustrate our main results.

Place, publisher, year, edition, pages
Springer, 2019
Keywords
Fractional evolution equations, Mild solutions, S-asymptotically -periodic solutions, Tichonov fixed-point theorem, Darbo-Sadovskii fixed-point theorem, Measure of noncompactness
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-80774 (URN)10.1186/s13661-019-1137-9 (DOI)000457834600001 ()2-s2.0-85061692935 (Scopus ID)
Available from: 2019-02-22 Created: 2019-02-22 Last updated: 2019-08-29Bibliographically approved
Mursaleen, M., Pourhadi, E. & Saadati, R. (2019). Solvability of infinite systems of second-order differential equations with boundary conditions in lp: Solvability of infinite systems. Quaestiones Mathematicae. Journal of the South African Mathematical Society, 1-20
Open this publication in new window or tab >>Solvability of infinite systems of second-order differential equations with boundary conditions in lp: Solvability of infinite systems
2019 (English)In: Quaestiones Mathematicae. Journal of the South African Mathematical Society, ISSN 1607-3606, E-ISSN 1727-933X, p. 1-20Article in journal (Refereed) Epub ahead of print
Abstract [en]

In this paper, governed by the fundamental solutions we introduce the Green’s function of the second-order differential equations in general form with respect to boundary conditions and deal with the solvability of the infinite system of a second-order differential equations. Using the ideas of Hausdorff measure of noncompactness and Meir-Keleer condensing operator we seek the sufficient conditions to justify the existence of solutions for the aforementioned system in the Banach sequence space lp

Place, publisher, year, edition, pages
Taylor & Francis, 2019
Keywords
Measure of noncompactness, infinite system of second-order differential equations, Darbo-type fixed point theorem, Meir-Keeler condensing operator, Green’s function
National Category
Mathematical Analysis
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-86253 (URN)10.2989/16073606.2019.1617800 (DOI)000473993300001 ()
Note

For the whole of abstract we refer the reader to see the full-text.

Available from: 2019-07-08 Created: 2019-07-08 Last updated: 2020-01-29
Saadati, R., Pourhadi, E. & Mursaleen, M. (2019). Solvability of infinite systems of third-order differential equations in c0 by Meir-Keeler condensing operators. Journal of Fixed Point Theory and Applications, 21(2), 1-16, Article ID 64.
Open this publication in new window or tab >>Solvability of infinite systems of third-order differential equations in c0 by Meir-Keeler condensing operators
2019 (English)In: Journal of Fixed Point Theory and Applications, ISSN 1661-7738, E-ISSN 1661-7746, Vol. 21, no 2, p. 1-16, article id 64Article in journal (Refereed) Published
Abstract [en]

Throughout this work, using the technique of measure of noncompactness together with Meir–Keeler condensing operators, we study the solvability of the following infinite system of third-order differential equations in the Banach sequence space c0 as a closed subspace of ℓ∞ :u′′′i+au′′i+bu′i+cui=fi(t,u1(t),u2(t),...)where fi∈C(R×R,R) is ω -periodic with respect to the first coordinate and a,b,c∈R are constant. Our approach depends on the Green's function corresponding to the aforesaid system and deduce some conclusions relevant to the existence of ω -periodic solutions in Banach sequence space c0 . In addition, some examples are supplied to illustrate the usefulness of the outcome.

Place, publisher, year, edition, pages
Switzerland: Springer, 2019
Keywords
Measure of noncompactness, infinite system of third-order differential equations, Darbo-type fixed point theorem, Meir-Keeler condensing operator, Green’s function
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
urn:nbn:se:lnu:diva-82640 (URN)10.1007/s11784-019-0696-9 (DOI)000466902000002 ()2-s2.0-85065246622 (Scopus ID)
Available from: 2019-05-22 Created: 2019-05-22 Last updated: 2019-08-29Bibliographically approved
Pourhadi, E., Khrennikov, A., Saadati, R., Oleschko, K. & Correa Lopez, M. d. (2019). Solvability of the p-Adic Analogue of Navier–Stokes Equation via the Wavelet Theory. Entropy, 21(11), 1-20, Article ID 1129.
Open this publication in new window or tab >>Solvability of the p-Adic Analogue of Navier–Stokes Equation via the Wavelet Theory
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2019 (English)In: Entropy, ISSN 1099-4300, E-ISSN 1099-4300, Vol. 21, no 11, p. 1-20, article id 1129Article in journal (Refereed) Published
Abstract [en]

P-adic numbers serve as the simplest ultrametric model for the tree-like structures arisingin various physical and biological phenomena. Recently p-adic dynamical equations started to beapplied to geophysics, to model propagation of fluids (oil, water, and oil-in-water and water-in-oilemulsion) in capillary networks in porous random media. In particular, a p-adic analog of theNavier–Stokes equation was derived starting with a system of differential equations respectingthe hierarchic structure of a capillary tree. In this paper, using the Schauder fixed point theoremtogether with the wavelet functions, we extend the study of the solvability of a p-adic field analogof the Navier–Stokes equation derived from a system of hierarchic equations for fluid flow in acapillary network in porous medium. This equation describes propagation of fluid’s flow throughGeo-conduits, consisting of the mixture of fractures (as well as fracture’s corridors) and capillarynetworks, detected by seismic as joint wave/mass conducts. Furthermore, applying the Adomiandecomposition method we formulate the solution of the p-adic analog of the Navier–Stokes equationin term of series in general form. This solution may help researchers to come closer and find morefacts, taking into consideration the scaling, hierarchies, and formal derivations, imprinted from theanalogous aspects of the real world phenomena.

Place, publisher, year, edition, pages
Basel, Switzerland: MDPI, 2019
Keywords
tree-like geometry; capillary networks; p-adic model of porous medium; fluid’s propagation; complex geological phenomena; p-adic analog of Navier–Stokes equation; pseudo-differential equations; p-adic wavelet basis; Schauder fixed point theorem; Vladimirov’s operator; existence of solution
National Category
Other Mathematics
Research subject
Mathematics, Mathematics; Mathematics, Applied Mathematics
Identifiers
urn:nbn:se:lnu:diva-90573 (URN)10.3390/e21111129 (DOI)000502145000102 ()
Available from: 2019-12-15 Created: 2019-12-15 Last updated: 2020-01-10Bibliographically approved
Pourhadi, E. & Khrennikov, A. (2018). On the solutions of Cauchy problem for two classes of semi-linear pseudo-differential equations over p-adic field. P-Adic Numbers, Ultrametric Analysis, and Applications, 10(4), 322-343
Open this publication in new window or tab >>On the solutions of Cauchy problem for two classes of semi-linear pseudo-differential equations over p-adic field
2018 (English)In: P-Adic Numbers, Ultrametric Analysis, and Applications, ISSN 2070-0466, E-ISSN 2070-0474, Vol. 10, no 4, p. 322-343Article in journal (Refereed) Published
Abstract [en]

Throughout this paper, using the p-adic wavelet basis together with the help of separation of variables and the Adomian decomposition method (as a scheme in numerical analysis) we initially investigate the solution of Cauchy problem for two classes of the first and second order of pseudo-differential equations involving the pseudo-differential operators such as Taibleson fractional operator in the setting of p-adic field.

Place, publisher, year, edition, pages
Springer, 2018
Keywords
Cauchy problem; pseudo-differential equations; p-adic field; p-adic wavelet basis; Adomian decomposition method; Abel equation
National Category
Other Mathematics
Research subject
Mathematics, Applied Mathematics
Identifiers
urn:nbn:se:lnu:diva-79075 (URN)10.1134/S207004661804009X (DOI)000456927600009 ()2-s2.0-85056135497 (Scopus ID)
Available from: 2018-12-05 Created: 2018-12-05 Last updated: 2019-08-29Bibliographically approved
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