Asmat Batool
Lecturer
Department of Mathematics
Faculty of Science and Technology
M.Phil (Mathematics)
Applied Mathematics
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Ms. Asmat Batool is currently working as Lecturer Mathematics at Virtual University Lawrence Road Campus Lahore. She obtained her MS degree in Applied Mathematics from Lahore Leads University and MSc Mathematics from University of the Punjab, Lahore. Presently she is a Ph.D. scholar at University of Management and Technology Lahore. She started her teaching career by joining an institution “The Educators” and served there for two years. Later on, she joined Virtual University of Pakistan and is associated with this institution for more than ten years. |
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| Experience |
Lecturer Mathematics
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Virtual University of Pakistan
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| From
Mar 24, 2023
To
present
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Instructor Mathematics
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'Virtual University of Pakistan'
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| From
Jan 11, 2010
To
Mar 23, 2023
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Mathematics Teacher
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'The Educators"
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| From
Aug 01, 2006
To
Sep 30, 2008
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| Publications |
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Category: X |
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Unified existence results for nonlinear fractional boundary value problems
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In this work, we focus on investigating the existence of solutions to nonlinear fractional boundary value problems (FBVPs) with generalized nonlinear boundary conditions. By extending the framework of the technique based on well-ordered coupled lower and upper solutions, we guarantee the existence of solutions in a sector defined by these solutions. One notable aspect of our study is that the proposed approach unifies the existence results for the problems that have previously been discussed separately in the literature. To substantiate these findings, we have added three illustrative examples.
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| Year:
2024 |
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Category: X |
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A new generalized approach to study the existence of solutions of nonlinear fractional boundary value problems
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In this paper, we construct a new generalized result to study the existence of solutions of nonlinear fractional boundary value problems (FBVPs). The proposed results unify the existence criteria of certain FBVPs including periodic and antiperiodic as special cases that have been previously studied separately in the literature. The method we employ is topological in its nature and manifests themselves in the forms of differential inequalities (lower and upper solutions, and coupled lower and upper solutions (CLUSs)). Two examples are given to demonstrate the applicability of the developed theoretical results.
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| Year:
2022 |
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Category: X |
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Extension of lower and upper solutions approach for generalized nonlinear fractional boundary value problems
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Our main concern in this study is to present the generalized results to investigate the existence of solutions to nonlinear fractional boundary value problems (FBVPs) with generalized nonlinear boundary conditions. The framework of the presented results relies on the lower and upper solutions approach which allows us to ensure the existence of solutions in a sector defined by well-ordered coupled lower and upper solutions. It is worth mentioning that the presented results unify the existence criteria of certain problems which were treated on a case-by-case basis in the literature. Two examples are supplied to support the results.
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| Year:
2022 |
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